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56115700992 = 283413267239
BaseRepresentation
bin110100010000110000…
…011010010100000000
312100211210120222020000
4310100300122110000
51404411104412432
641440150120000
74024412405541
oct642060322400
9170753528200
1056115700992
112188693979a
12aa61050000
1353a3ab8a00
142a04a5a4c8
1516d673457c
hexd10c1a500

56115700992 has 540 divisors, whose sum is σ = 184661991360. Its totient is φ = 16937496576.

The previous prime is 56115700973. The next prime is 56115700997. The reversal of 56115700992 is 29900751165.

56115700992 is a `hidden beast` number, since 561 + 15 + 70 + 0 + 9 + 9 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56115700997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 234793609 + ... + 234793847.

Almost surely, 256115700992 is an apocalyptic number.

56115700992 is a gapful number since it is divisible by the number (52) 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 56115700992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92330995680).

56115700992 is an abundant number, since it is smaller than the sum of its proper divisors (128546290368).

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

56115700992 is a wasteful number, since it uses less digits than its factorization.

56115700992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 170100, while the sum is 45.

The spelling of 56115700992 in words is "fifty-six billion, one hundred fifteen million, seven hundred thousand, nine hundred ninety-two".