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6344802230352 = 2431133675475827
BaseRepresentation
bin101110001010100001110…
…1011101110000001010000
3211110120001011202200202020
41130111003223232001100
51312423123332332402
621254432323251440
71223253054054105
oct134250353560120
924416034680666
106344802230352
1120268a74a5503
128657b9519b80
1337040a116781
1417d1391dcaac
15b0099a1b8bc
hex5c543aee050

6344802230352 has 160 divisors (see below), whose sum is σ = 16614009587712. Its totient is φ = 2086326208512.

The previous prime is 6344802230341. The next prime is 6344802230381. The reversal of 6344802230352 is 2530322084436.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1088859663 + ... + 1088865489.

Almost surely, 26344802230352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6344802230352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8307004793856).

6344802230352 is an abundant number, since it is smaller than the sum of its proper divisors (10269207357360).

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

6344802230352 is a wasteful number, since it uses less digits than its factorization.

6344802230352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6865 (or 6859 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 42.

The spelling of 6344802230352 in words is "six trillion, three hundred forty-four billion, eight hundred two million, two hundred thirty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 113 226 339 367 452 547 678 734 904 1094 1101 1356 1468 1641 1808 2188 2202 2712 2936 3282 4376 4404 5424 5827 5872 6564 8752 8808 11654 13128 17481 17616 23308 26256 34962 41471 46616 61811 69924 82942 93232 123622 124413 139848 165884 185433 200749 247244 248826 279696 331768 370866 401498 494488 497652 602247 658451 663536 741732 802996 988976 995304 1204494 1316902 1483464 1605992 1975353 1990608 2138509 2408988 2633804 2966928 3187369 3211984 3950706 4277018 4817976 5267608 6374738 6415527 7901412 8554036 9562107 9635952 10535216 12749476 12831054 15802824 17108072 19124214 22684637 25498952 25662108 31605648 34216144 38248428 45369274 50997904 51324216 68053911 76496856 90738548 102648432 136107822 152993712 181477096 241651517 272215644 360172697 362954192 483303034 544431288 720345394 724954551 966606068 1080518091 1088862576 1169764423 1440690788 1449909102 1933212136 2161036182 2339528846 2881381576 2899818204 3509293269 3866424272 4322072364 4679057692 5762763152 5799636408 7018586538 8644144728 9358115384 11599272816 14037173076 17288289456 18716230768 28074346152 56148692304 132183379799 264366759598 396550139397 528733519196 793100278794 1057467038392 1586200557588 2114934076784 3172401115176 6344802230352