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70493410944 = 27341117103353
BaseRepresentation
bin100000110100110111…
…1000001011010000000
320201221210210022110000
41001221233001122000
52123332303122234
652214554240000
75043615051345
oct1015157013200
9221853708400
1070493410944
1127994769010
12117b4126000
1368557335a8
1435aa3747cc
151c78ac6899
hex1069bc1680

70493410944 has 640 divisors, whose sum is σ = 245366858880. Its totient is φ = 19853475840.

The previous prime is 70493410943. The next prime is 70493410963. The reversal of 70493410944 is 44901439407.

70493410944 is a `hidden beast` number, since 70 + 493 + 4 + 1 + 0 + 94 + 4 = 666.

It is a super-2 number, since 2×704934109442 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 70493410944.

It is not an unprimeable number, because it can be changed into a prime (70493410943) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 199697872 + ... + 199698224.

It is an arithmetic number, because the mean of its divisors is an integer number (383385717).

Almost surely, 270493410944 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 70493410944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122683429440).

70493410944 is an abundant number, since it is smaller than the sum of its proper divisors (174873447936).

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

70493410944 is a wasteful number, since it uses less digits than its factorization.

70493410944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 70493410944 in words is "seventy billion, four hundred ninety-three million, four hundred ten thousand, nine hundred forty-four".