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6056122432 = 261729367523
BaseRepresentation
bin1011010001111100…
…10001100001000000
3120122001122220011211
411220332101201000
544400331404212
62440535415504
7303035122423
oct55076214100
916561586154
106056122432
112628583468
121210224594
137568b8ac9
1441645b9ba
15256a219a7
hex168f91840

6056122432 has 112 divisors (see below), whose sum is σ = 13224418560. Its totient is φ = 2738921472.

The previous prime is 6056122417. The next prime is 6056122441. The reversal of 6056122432 is 2342216506.

It is a super-2 number, since 2×60561224322 = 73353237822747189248, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6056122394 and 6056122403.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11579323 + ... + 11579845.

Almost surely, 26056122432 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 6056122432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6612209280).

6056122432 is an abundant number, since it is smaller than the sum of its proper divisors (7168296128).

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

6056122432 is a wasteful number, since it uses less digits than its factorization.

6056122432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948 (or 938 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 6056122432 is about 77821.0924621339. The cubic root of 6056122432 is about 1822.7686428556.

Adding to 6056122432 its reverse (2342216506), we get a palindrome (8398338938).

The spelling of 6056122432 in words is "six billion, fifty-six million, one hundred twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 17 29 32 34 58 64 68 116 136 232 272 367 464 493 523 544 734 928 986 1046 1088 1468 1856 1972 2092 2936 3944 4184 5872 6239 7888 8368 8891 10643 11744 12478 15167 15776 16736 17782 21286 23488 24956 30334 31552 33472 35564 42572 49912 60668 71128 85144 99824 121336 142256 170288 180931 191941 199648 242672 257839 284512 340576 361862 383882 399296 485344 515678 569024 681152 723724 767764 970688 1031356 1447448 1535528 2062712 2894896 3071056 3262997 4125424 5566289 5789792 6142112 6525994 8250848 11132578 11579584 12284224 13051988 16501696 22265156 26103976 44530312 52207952 89060624 94626913 104415904 178121248 189253826 208831808 356242496 378507652 757015304 1514030608 3028061216 6056122432