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55156871025 = 34521723072
BaseRepresentation
bin110011010111100110…
…110000111101110001
312021100222101100210000
4303113212300331301
51400430124333100
641201055100213
73661560445104
oct632746607561
9167328340700
1055156871025
1121434685633
12a833b11669
135280264ab9
14295358873b
15167c486900
hexcd79b0f71

55156871025 has 135 divisors (see below), whose sum is σ = 108887775249. Its totient is φ = 27596401920.

The previous prime is 55156871023. The next prime is 55156871051. The reversal of 55156871025 is 52017865155.

The square root of 55156871025 is 234855.

It is a perfect power (a square), and thus also a powerful number.

55156871025 is a `hidden beast` number, since 5 + 51 + 568 + 7 + 10 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1290174561 + 53866696464 = 35919^2 + 232092^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 55156871025 - 21 = 55156871023 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (55156871023) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 179663922 + ... + 179664228.

Almost surely, 255156871025 is an apocalyptic number.

55156871025 is the 234855-th square number.

55156871025 is the 117428-th centered octagonal number.

It is an amenable number.

55156871025 is a deficient number, since it is larger than the sum of its proper divisors (53730904224).

55156871025 is an equidigital number, since it uses as much as digits as its factorization.

55156871025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 420000, while the sum is 45.

The spelling of 55156871025 in words is "fifty-five billion, one hundred fifty-six million, eight hundred seventy-one thousand, twenty-five".

Divisors: 1 3 5 9 15 17 25 27 45 51 75 81 85 135 153 225 255 289 307 405 425 459 675 765 867 921 1275 1377 1445 1535 2025 2295 2601 2763 3825 4335 4605 5219 6885 7225 7675 7803 8289 11475 13005 13815 15657 21675 23025 23409 24867 26095 34425 39015 41445 46971 65025 69075 78285 88723 94249 117045 124335 130475 140913 195075 207225 234855 266169 282747 391425 422739 443615 471245 585225 621675 704565 798507 848241 1174275 1330845 1413735 1602233 2113695 2218075 2356225 2395521 2544723 3522825 3992535 4241205 4806699 6654225 7068675 7186563 7634169 8011165 10568475 11977605 12723615 14420097 19962675 21206025 24033495 27237961 35932815 38170845 40055825 43260291 59888025 63618075 72100485 81713883 120167475 129780873 136189805 179664075 190854225 216301455 245141649 360502425 408569415 648904365 680949025 735424947 1081507275 1225708245 2042847075 2206274841 3244521825 3677124735 6128541225 11031374205 18385623675 55156871025