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55953063936 = 2203272112
BaseRepresentation
bin110100000111000100…
…000000000000000000
312100102110120011010100
4310013010000000000
51404042441021221
641412100202400
74020366124200
oct640704000000
9170373504110
1055953063936
1121803056100
12aa16699400
1353791b3b73
1429cb202400
1516c730a926
hexd07100000

55953063936 has 567 divisors, whose sum is σ = 206680522503. Its totient is φ = 14533263360.

The previous prime is 55953063889. The next prime is 55953063949. The reversal of 55953063936 is 63936035955.

The square root of 55953063936 is 236544.

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

55953063936 is a `hidden beast` number, since 559 + 53 + 0 + 6 + 3 + 9 + 36 = 666.

It is a super-2 number, since 2×559530639362 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5086642171 + ... + 5086642181.

Almost surely, 255953063936 is an apocalyptic number.

55953063936 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

55953063936 is the 236544-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55953063936

55953063936 is an abundant number, since it is smaller than the sum of its proper divisors (150727458567).

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

55953063936 is an frugal number, since it uses more digits than its factorization.

55953063936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 9841500, while the sum is 54.

The spelling of 55953063936 in words is "fifty-five billion, nine hundred fifty-three million, sixty-three thousand, nine hundred thirty-six".