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56065706496 = 29352941379
BaseRepresentation
bin110100001101110001…
…101100101000000000
312100201022111222200000
4310031301230220000
51404310310101441
641431202400000
74023234433152
oct641561545000
9170638458600
1056065706496
11218606a2128
12aa48360000
135396632c77
1429dc164ad2
1516d215b2b6
hexd0dc6ca00

56065706496 has 480 divisors, whose sum is σ = 178291713600. Its totient is φ = 17557585920.

The previous prime is 56065706491. The next prime is 56065706509. The reversal of 56065706496 is 69460756065.

56065706496 is a `hidden beast` number, since 5 + 6 + 0 + 6 + 570 + 64 + 9 + 6 = 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 (56065706491) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 147930435 + ... + 147930813.

It is an arithmetic number, because the mean of its divisors is an integer number (371441070).

Almost surely, 256065706496 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 56065706496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89145856800).

56065706496 is an abundant number, since it is smaller than the sum of its proper divisors (122226007104).

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

56065706496 is an equidigital number, since it uses as much as digits as its factorization.

56065706496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 454 counting only the distinct ones).

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

The spelling of 56065706496 in words is "fifty-six billion, sixty-five million, seven hundred six thousand, four hundred ninety-six".