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55082136256 = 2677111631489
BaseRepresentation
bin110011010011001001…
…101011001011000000
312021011202202102221121
4303103021223023000
51400302011330011
641145425202024
73656662301350
oct632311531300
9167152672847
1055082136256
11213a6480264
12a812a90314
13526a929144
142947692b60
151675b22e71
hexcd326b2c0

55082136256 has 112 divisors (see below), whose sum is σ = 126871902720. Its totient is φ = 23238512640.

The previous prime is 55082136251. The next prime is 55082136289. The reversal of 55082136256 is 65263128055.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (55082136251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36991960 + ... + 36993448.

Almost surely, 255082136256 is an apocalyptic number.

55082136256 is a gapful number since it is divisible by the number (56) 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 55082136256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63435951360).

55082136256 is an abundant number, since it is smaller than the sum of its proper divisors (71789766464).

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

55082136256 is a wasteful number, since it uses less digits than its factorization.

55082136256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2742 (or 2732 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 43.

The spelling of 55082136256 in words is "fifty-five billion, eighty-two million, one hundred thirty-six thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 71 112 142 224 284 448 497 568 994 1136 1163 1489 1988 2272 2326 2978 3976 4544 4652 5956 7952 8141 9304 10423 11912 15904 16282 18608 20846 23824 31808 32564 37216 41692 47648 65128 74432 82573 83384 95296 105719 130256 165146 166768 211438 260512 330292 333536 422876 521024 578011 660584 667072 740033 845752 1156022 1321168 1480066 1691504 1731707 2312044 2642336 2960132 3383008 3463414 4624088 5284672 5920264 6766016 6926828 9248176 11840528 12121949 13853656 18496352 23681056 24243898 27707312 36992704 47362112 48487796 55414624 96975592 110829248 122951197 193951184 245902394 387902368 491804788 775804736 860658379 983609576 1721316758 1967219152 3442633516 3934438304 6885267032 7868876608 13770534064 27541068128 55082136256