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70971291720 = 23335738924133
BaseRepresentation
bin100001000011000110…
…1111111100001001000
320210012010000011122000
41002012031333201020
52130322122313340
652334225031000
75061510011640
oct1020615774110
9223163004560
1070971291720
112810a4979aa
1211908185460
136900742794
143613a0d520
151ca5a20d30
hex108637f848

70971291720 has 256 divisors, whose sum is σ = 271073088000. Its totient is φ = 16179637248.

The previous prime is 70971291683. The next prime is 70971291731. The reversal of 70971291720 is 2719217907.

It is a happy number.

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

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, 2928774 + ... + 2952906.

It is an arithmetic number, because the mean of its divisors is an integer number (1058879250).

Almost surely, 270971291720 is an apocalyptic number.

70971291720 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70971291720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135536544000).

70971291720 is an abundant number, since it is smaller than the sum of its proper divisors (200101796280).

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

70971291720 is a wasteful number, since it uses less digits than its factorization.

70971291720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24549 (or 24539 counting only the distinct ones).

The product of its (nonzero) digits is 111132, while the sum is 45.

The spelling of 70971291720 in words is "seventy billion, nine hundred seventy-one million, two hundred ninety-one thousand, seven hundred twenty".