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56245177872 = 24341313192531
BaseRepresentation
bin110100011000011110…
…010100111000010000
312101011211020002010000
4310120132110320100
51410142231142442
641501053210000
74030544060262
oct643036247020
9171154202100
1056245177872
1121942a33684
12aa98490900
1353c4880350
142a17d21b32
1516e2cacd4c
hexd18794e10

56245177872 has 200 divisors, whose sum is σ = 175514391360. Its totient is φ = 17286255360.

The previous prime is 56245177871. The next prime is 56245177927. The reversal of 56245177872 is 27877154265.

56245177872 is a `hidden beast` number, since 5 + 624 + 5 + 1 + 7 + 7 + 8 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (56245177871) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 22221247 + ... + 22223777.

Almost surely, 256245177872 is an apocalyptic number.

56245177872 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 56245177872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87757195680).

56245177872 is an abundant number, since it is smaller than the sum of its proper divisors (119269213488).

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

56245177872 is a wasteful number, since it uses less digits than its factorization.

56245177872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3883 (or 3868 counting only the distinct ones).

The product of its digits is 6585600, while the sum is 54.

The spelling of 56245177872 in words is "fifty-six billion, two hundred forty-five million, one hundred seventy-seven thousand, eight hundred seventy-two".