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56130577920 = 293257134313
BaseRepresentation
bin110100010001101001…
…001010011000000000
312100212211120210112100
4310101221022120000
51404423411443140
641441441030400
74024653016524
oct642151123000
9170784523470
1056130577920
112189427aa7a
12aa66025400
1353a6bc7321
142a06a0dd84
1516d7bc2530
hexd11a4a600

56130577920 has 240 divisors, whose sum is σ = 197139694752. Its totient is φ = 14756904960.

The previous prime is 56130577897. The next prime is 56130577933. The reversal of 56130577920 is 2977503165.

56130577920 is a `hidden beast` number, since 5 + 613 + 0 + 5 + 7 + 7 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1618684 + ... + 1652996.

Almost surely, 256130577920 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 56130577920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98569847376).

56130577920 is an abundant number, since it is smaller than the sum of its proper divisors (141009116832).

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

56130577920 is a wasteful number, since it uses less digits than its factorization.

56130577920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34413 (or 34394 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 45.

The spelling of 56130577920 in words is "fifty-six billion, one hundred thirty million, five hundred seventy-seven thousand, nine hundred twenty".