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70757432064 = 283511531951
BaseRepresentation
bin100000111100101111…
…0001011101100000000
320202122012120222100000
41001321132023230000
52124402400311224
652301105200000
75053302151254
oct1017136135400
9222565528300
1070757432064
112800a7a8a90
1211868630000
136898344bc7
1435d3460264
151c91d7a0c9
hex107978bb00

70757432064 has 432 divisors, whose sum is σ = 235275715584. Its totient is φ = 21026304000.

The previous prime is 70757432041. The next prime is 70757432101. The reversal of 70757432064 is 46023475707.

70757432064 is a `hidden beast` number, since 70 + 7 + 574 + 3 + 2 + 0 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×707574320642 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36266289 + ... + 36268239.

It is an arithmetic number, because the mean of its divisors is an integer number (544619712).

Almost surely, 270757432064 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 70757432064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117637857792).

70757432064 is an abundant number, since it is smaller than the sum of its proper divisors (164518283520).

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

70757432064 is a wasteful number, since it uses less digits than its factorization.

70757432064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2046 (or 2020 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 45.

The spelling of 70757432064 in words is "seventy billion, seven hundred fifty-seven million, four hundred thirty-two thousand, sixty-four".