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70824430656 = 26327223109103
BaseRepresentation
bin100000111110101110…
…1110000110001000000
320202210212122212010100
41001331131300301000
52130022023240111
652311501202400
75055044504400
oct1017535606100
9222725585110
1070824430656
11280445aa021
1211886b60400
1368a91a2545
1435dc300800
151c97bb1756
hex107d770c40

70824430656 has 252 divisors, whose sum is σ = 246418803072. Its totient is φ = 19355567616.

The previous prime is 70824430627. The next prime is 70824430667. The reversal of 70824430656 is 65603442807.

70824430656 is a `hidden beast` number, since 70 + 82 + 443 + 0 + 65 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 594601 + ... + 703703.

Almost surely, 270824430656 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 70824430656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123209401536).

70824430656 is an abundant number, since it is smaller than the sum of its proper divisors (175594372416).

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

70824430656 is a wasteful number, since it uses less digits than its factorization.

70824430656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109158 (or 109138 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 70824430656 in words is "seventy billion, eight hundred twenty-four million, four hundred thirty thousand, six hundred fifty-six".