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70521200640 = 2133351121731
BaseRepresentation
bin100000110101101100…
…1000010000000000000
320202000202002011202000
41001223121002000000
52123411411410030
652221430024000
75044403213022
oct1015331020000
9222022064660
1070521200640
11279a9419900
12118014a8000
13685b4134b7
1435add2a012
151c7b265860
hex106b642000

70521200640 has 1344 divisors, whose sum is σ = 301216527360. Its totient is φ = 15571353600.

The previous prime is 70521200579. The next prime is 70521200719. The reversal of 70521200640 is 4600212507.

70521200640 is a `hidden beast` number, since 7 + 0 + 5 + 2 + 12 + 0 + 0 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2274877425 + ... + 2274877455.

It is an arithmetic number, because the mean of its divisors is an integer number (224119440).

Almost surely, 270521200640 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 70521200640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150608263680).

70521200640 is an abundant number, since it is smaller than the sum of its proper divisors (230695326720).

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

70521200640 is a wasteful number, since it uses less digits than its factorization.

70521200640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The spelling of 70521200640 in words is "seventy billion, five hundred twenty-one million, two hundred thousand, six hundred forty".