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56476369152 = 283377431571
BaseRepresentation
bin110100100110010000…
…010000000100000000
312101202221020210221000
4310212100100010000
51411130422303102
641540032332000
74036352134320
oct644620200400
9171687223830
1056476369152
1121a51490055
12ab419a4000
135430738918
142a3a903280
15170822901c
hexd26410100

56476369152 has 288 divisors, whose sum is σ = 191247759360. Its totient is φ = 16104130560.

The previous prime is 56476369141. The next prime is 56476369181. The reversal of 56476369152 is 25196367465.

56476369152 is a `hidden beast` number, since 5 + 6 + 476 + 36 + 91 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35948527 + ... + 35950097.

It is an arithmetic number, because the mean of its divisors is an integer number (664054720).

Almost surely, 256476369152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56476369152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95623879680).

56476369152 is an abundant number, since it is smaller than the sum of its proper divisors (134771390208).

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

56476369152 is a wasteful number, since it uses less digits than its factorization.

56476369152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2346 (or 2326 counting only the distinct ones).

The product of its digits is 8164800, while the sum is 54.

The spelling of 56476369152 in words is "fifty-six billion, four hundred seventy-six million, three hundred sixty-nine thousand, one hundred fifty-two".