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65828560896 = 213337174161
BaseRepresentation
bin111101010011101100…
…000010000000000000
320021220201001101012000
4331103230002000000
52034304102422041
650124034304000
74520202351420
oct752354020000
9207821041160
1065828560896
1125a1056313a
1210911a28000
13629115b8a7
1432869d6480
151aa42c3bb6
hexf53b02000

65828560896 has 896 divisors, whose sum is σ = 245729272320. Its totient is φ = 16986931200.

The previous prime is 65828560877. The next prime is 65828560961. The reversal of 65828560896 is 69806582856.

65828560896 is a `hidden beast` number, since 65 + 8 + 2 + 8 + 560 + 8 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1079156706 + ... + 1079156766.

It is an arithmetic number, because the mean of its divisors is an integer number (274251420).

Almost surely, 265828560896 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 65828560896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122864636160).

65828560896 is an abundant number, since it is smaller than the sum of its proper divisors (179900711424).

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

65828560896 is a wasteful number, since it uses less digits than its factorization.

65828560896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 63.

The spelling of 65828560896 in words is "sixty-five billion, eight hundred twenty-eight million, five hundred sixty thousand, eight hundred ninety-six".