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55115074756 = 22724124092
BaseRepresentation
bin110011010101000111…
…010100110011000100
312021021001201220002001
4303111013110303010
51400333424343011
641153003155044
73660542256100
oct632507246304
9167231656061
1055115074756
1121413028465
12a821b15a84
1352746bc791
14294bbc8900
15167897c7c1
hexcd51d4cc4

55115074756 has 81 divisors (see below), whose sum is σ = 115283705607. Its totient is φ = 22988286720.

The previous prime is 55115074711. The next prime is 55115074769. The reversal of 55115074756 is 65747051155.

The square root of 55115074756 is 234766.

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

It can be written as a sum of positive squares in 4 ways, for example, as 321628356 + 54793446400 = 17934^2 + 234080^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 134755480 + ... + 134755888.

Almost surely, 255115074756 is an apocalyptic number.

55115074756 is the 234766-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55115074756

55115074756 is an abundant number, since it is smaller than the sum of its proper divisors (60168630851).

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

55115074756 is an equidigital number, since it uses as much as digits as its factorization.

55115074756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 735000, while the sum is 46.

The spelling of 55115074756 in words is "fifty-five billion, one hundred fifteen million, seventy-four thousand, seven hundred fifty-six".

Divisors: 1 2 4 7 14 28 41 49 82 98 164 196 287 409 574 818 1148 1636 1681 2009 2863 3362 4018 5726 6724 8036 11452 11767 16769 20041 23534 33538 40082 47068 67076 80164 82369 117383 164738 167281 234766 329476 334562 469532 669124 687529 821681 1170967 1375058 1643362 2341934 2750116 3286724 4683868 4812703 6858521 8196769 9625406 13717042 16393538 19250812 27434084 32787076 33688921 48009647 67377842 96019294 134755684 192038588 281199361 336067529 562398722 672135058 1124797444 1344270116 1968395527 3936791054 7873582108 13778768689 27557537378 55115074756