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70439508681696 = 25327411171393919
BaseRepresentation
bin10000000001000001111001…
…111001001010001111100000
3100020101221200110202010021200
4100001001321321022033200
533213040103210303241
6405451244043521200
720560041455550000
oct2001017171121740
9306357613663250
1070439508681696
1120498256329880
127a97794b29200
13303c556691cbb
14135740cc60000
1582245ebc54b6
hex401079e4a3e0

70439508681696 has 1440 divisors, whose sum is σ = 271934847475200. Its totient is φ = 17091497041920.

The previous prime is 70439508681673. The next prime is 70439508681739. The reversal of 70439508681696 is 69618680593407.

70439508681696 is a `hidden beast` number, since 7 + 0 + 4 + 39 + 508 + 6 + 81 + 6 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 17973845625 + ... + 17973849543.

It is an arithmetic number, because the mean of its divisors is an integer number (188843644080).

Almost surely, 270439508681696 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 70439508681696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135967423737600).

70439508681696 is an abundant number, since it is smaller than the sum of its proper divisors (201495338793504).

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

70439508681696 is a wasteful number, since it uses less digits than its factorization.

70439508681696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4130 (or 4098 counting only the distinct ones).

The product of its (nonzero) digits is 470292480, while the sum is 72.

The spelling of 70439508681696 in words is "seventy trillion, four hundred thirty-nine billion, five hundred eight million, six hundred eighty-one thousand, six hundred ninety-six".