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70980368256 = 2733723491201
BaseRepresentation
bin100001000011011000…
…0100111011110000000
320210012202002022022000
41002012300213132000
52130331433241011
652335151344000
75061650114100
oct1020660473600
9223182068260
1070980368256
1128114627276
121190b222000
13690259cc05
143614cd3200
151ca6715356
hex1086c27780

70980368256 has 384 divisors, whose sum is σ = 244594980000. Its totient is φ = 20205158400.

The previous prime is 70980368233. The next prime is 70980368279. The reversal of 70980368256 is 65286308907.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (70980368233) and next prime (70980368279).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59100456 + ... + 59101656.

Almost surely, 270980368256 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 70980368256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122297490000).

70980368256 is an abundant number, since it is smaller than the sum of its proper divisors (173614611744).

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

70980368256 is a wasteful number, since it uses less digits than its factorization.

70980368256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1587 (or 1562 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 70980368256 in words is "seventy billion, nine hundred eighty million, three hundred sixty-eight thousand, two hundred fifty-six".