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70026742656 = 27321322979157
BaseRepresentation
bin100000100110111101…
…0110100101110000000
320200202021200002220100
41001031322310232000
52121403321231111
652100404042400
75026220330403
oct1011572645600
9220667602810
1070026742656
11277752a8242
12116a3993400
1367acb4bb00
1435643b7d3a
151c4cb44756
hex104deb4b80

70026742656 has 576 divisors, whose sum is σ = 230039784000. Its totient is φ = 20409532416.

The previous prime is 70026742633. The next prime is 70026742663. The reversal of 70026742656 is 65624762007.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 446030130 + ... + 446030286.

It is an arithmetic number, because the mean of its divisors is an integer number (399374625).

Almost surely, 270026742656 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 70026742656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115019892000).

70026742656 is an abundant number, since it is smaller than the sum of its proper divisors (160013041344).

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

70026742656 is a wasteful number, since it uses less digits than its factorization.

70026742656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 70026742656 in words is "seventy billion, twenty-six million, seven hundred forty-two thousand, six hundred fifty-six".