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70080462144 = 26337111921459
BaseRepresentation
bin100000101000100011…
…1101111110101000000
320200220000202100012000
41001101013233311000
52122011044242034
652110003304000
75030442046110
oct1012107576500
9220800670160
1070080462144
11277a2659510
12116b997b000
1367bb00a1a4
14356b59d040
151c52706599
hex10511efd40

70080462144 has 672 divisors, whose sum is σ = 271276876800. Its totient is φ = 17232860160.

The previous prime is 70080462131. The next prime is 70080462223. The reversal of 70080462144 is 44126408007.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×700804621442 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 70080462099 and 70080462108.

It is a congruent number.

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, 48032487 + ... + 48033945.

Almost surely, 270080462144 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 70080462144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135638438400).

70080462144 is an abundant number, since it is smaller than the sum of its proper divisors (201196414656).

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

70080462144 is a wasteful number, since it uses less digits than its factorization.

70080462144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1536 (or 1501 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 70080462144 in words is "seventy billion, eighty million, four hundred sixty-two thousand, one hundred forty-four".