Search a number
-
+
120554459597152 = 2573161441282563
BaseRepresentation
bin11011011010010011000101…
…101111011000100101100000
3120210211220010120022221000201
4123122103011233120211200
5111300131013124102102
61104221542034154544
734251525615043330
oct3332230557304540
9523756116287021
10120554459597152
113545994a65a039
1211630318722a54
135236310215c39
1421aac1cdb30c0
15de0d713da987
hex6da4c5bd8960

120554459597152 has 96 divisors (see below), whose sum is σ = 280003002660864. Its totient is φ = 49998554726400.

The previous prime is 120554459597107. The next prime is 120554459597219. The reversal of 120554459597152 is 251795954455021.

It is a super-2 number, since 2×1205544595971522 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 426505023 + ... + 426787585.

It is an arithmetic number, because the mean of its divisors is an integer number (2916697944384).

Almost surely, 2120554459597152 is an apocalyptic number.

It is an amenable number.

120554459597152 is an abundant number, since it is smaller than the sum of its proper divisors (159448543063712).

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

120554459597152 is a wasteful number, since it uses less digits than its factorization.

120554459597152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344052 (or 344044 counting only the distinct ones).

The product of its (nonzero) digits is 113400000, while the sum is 64.

The spelling of 120554459597152 in words is "one hundred twenty trillion, five hundred fifty-four billion, four hundred fifty-nine million, five hundred ninety-seven thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 112 124 217 224 248 434 496 868 992 1736 3472 6944 61441 122882 245764 282563 430087 491528 565126 860174 983056 1130252 1720348 1904671 1966112 1977941 2260504 3440696 3809342 3955882 4521008 6881392 7618684 7911764 8759453 9042016 13332697 13762784 15237368 15823528 17518906 26665394 30474736 31647056 35037812 53330788 60949472 61316171 63294112 70075624 106661576 122632342 140151248 213323152 245264684 280302496 426646304 490529368 981058736 1962117472 17360953283 34721906566 69443813132 121526672981 138887626264 243053345962 277775252528 486106691924 538189551773 555550505056 972213383848 1076379103546 1944426767696 2152758207092 3767326862411 3888853535392 4305516414184 7534653724822 8611032828368 15069307449644 17222065656736 30138614899288 60277229798576 120554459597152