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70432913664 = 2834192972
BaseRepresentation
bin100000110011000100…
…0001111100100000000
320201210120221201210000
41001212020033210000
52123221311214124
652204553440000
75042251613421
oct1014610174400
9221716851700
1070432913664
11279635a8563
1211797a10000
136846041199
1435a2307648
151c736266c9
hex106620f900

70432913664 has 405 divisors, whose sum is σ = 223962207777. Its totient is φ = 22012674048.

The previous prime is 70432913633. The next prime is 70432913689. The reversal of 70432913664 is 46631923407.

The square root of 70432913664 is 265392.

It is a perfect power (a square), and thus also a powerful number.

70432913664 is a `hidden beast` number, since 70 + 432 + 91 + 3 + 6 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 31627065600 + 38805848064 = 177840^2 + 196992^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 726112464 + ... + 726112560.

Almost surely, 270432913664 is an apocalyptic number.

70432913664 is the 265392-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70432913664

70432913664 is an abundant number, since it is smaller than the sum of its proper divisors (153529294113).

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

70432913664 is an frugal number, since it uses more digits than its factorization.

70432913664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 70432913664 in words is "seventy billion, four hundred thirty-two million, nine hundred thirteen thousand, six hundred sixty-four".