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56449687117824 = 213367211131971
BaseRepresentation
bin11001101010111001101111…
…00011000110000000000000
321101212112111202100022000000
430311130313203012000000
524344332424400232244
6320020343412000000
714614232604364200
oct1465346743060000
9241775452308000
1056449687117824
1116a941a5812980
1263b83b2000000
13256624b3a2630
14dd2272522400
1567d5bc680169
hex3357378c6000

56449687117824 has 4704 divisors, whose sum is σ = 246922248303360. Its totient is φ = 12641461862400.

The previous prime is 56449687117823. The next prime is 56449687117841. The reversal of 56449687117824 is 42871178694465.

56449687117824 is a `hidden beast` number, since 5 + 6 + 449 + 6 + 8 + 7 + 1 + 178 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (4704).

It is a Harshad number since it is a multiple of its sum of digits (72).

Its product of digits (650280960) is a multiple of the sum of its prime divisors (126).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56449687117823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 795066015709 + ... + 795066015779.

Almost surely, 256449687117824 is an apocalyptic number.

56449687117824 is a gapful number since it is divisible by the number (54) 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 56449687117824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123461124151680).

56449687117824 is an abundant number, since it is smaller than the sum of its proper divisors (190472561185536).

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

56449687117824 is a wasteful number, since it uses less digits than its factorization.

56449687117824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 126 counting only the distinct ones).

The product of its digits is 650280960, while the sum is 72.

The spelling of 56449687117824 in words is "fifty-six trillion, four hundred forty-nine billion, six hundred eighty-seven million, one hundred seventeen thousand, eight hundred twenty-four".