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2313284339268 = 22327292511261121
BaseRepresentation
bin100001101010011010011…
…111011100011001000100
322012010222202121020022200
4201222122133130121010
5300400101242324033
64530412543354500
7326062225310460
oct41523237343104
98163882536280
102313284339268
1181207077a871
123143b62b2a30
1313a1ac63b456
147dd6c0154a0
1540291a57013
hex21a9a7dc644

2313284339268 has 144 divisors (see below), whose sum is σ = 6940811928960. Its totient is φ = 635604480000.

The previous prime is 2313284339203. The next prime is 2313284339269. The reversal of 2313284339268 is 8629334823132.

It is a happy number.

2313284339268 is a `hidden beast` number, since 2 + 3 + 1 + 3 + 284 + 339 + 26 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (2313284339269) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1203748 + ... + 2464868.

It is an arithmetic number, because the mean of its divisors is an integer number (48200082840).

Almost surely, 22313284339268 is an apocalyptic number.

2313284339268 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2313284339268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3470405964480).

2313284339268 is an abundant number, since it is smaller than the sum of its proper divisors (4627527589692).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2313284339268 is a wasteful number, since it uses less digits than its factorization.

2313284339268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1261418 (or 1261413 counting only the distinct ones).

The product of its digits is 8957952, while the sum is 54.

The spelling of 2313284339268 in words is "two trillion, three hundred thirteen billion, two hundred eighty-four million, three hundred thirty-nine thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 36 42 58 63 84 87 116 126 174 203 251 252 261 348 406 502 522 609 753 812 1004 1044 1218 1506 1757 1827 2259 2436 3012 3514 3654 4518 5271 7028 7279 7308 9036 10542 14558 15813 21084 21837 29116 31626 43674 50953 63252 65511 87348 101906 131022 152859 203812 262044 305718 458577 611436 917154 1261121 1834308 2522242 3783363 5044484 7566726 8827847 11350089 15133452 17655694 22700178 26483541 35311388 36572509 45400356 52967082 73145018 79450623 105934164 109717527 146290036 158901246 219435054 256007563 316541371 317802492 329152581 438870108 512015126 633082742 658305162 768022689 949624113 1024030252 1266165484 1316610324 1536045378 1899248226 2215789597 2304068067 2848872339 3072090756 3798496452 4431579194 4608136134 5697744678 6647368791 8863158388 9179699759 9216272268 11395489356 13294737582 18359399518 19942106373 26589475164 27539099277 36718799036 39884212746 55078198554 64257898313 79768425492 82617297831 110156397108 128515796626 165234595662 192773694939 257031593252 330469191324 385547389878 578321084817 771094779756 1156642169634 2313284339268