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70617318912 = 293471741349
BaseRepresentation
bin100000111000100011…
…1101100011000000000
320202021102221111020000
41001301013230120000
52124111013201122
652235142120000
75046651210150
oct1016107543000
9222242844200
1070617318912
1127a486a9998
1211829720000
1368752c820a
1435bc9ca760
151c849000ac
hex10711ec600

70617318912 has 800 divisors, whose sum is σ = 262023854400. Its totient is φ = 18473287680.

The previous prime is 70617318911. The next prime is 70617318931. The reversal of 70617318912 is 21981371607.

70617318912 is a `hidden beast` number, since 7 + 0 + 617 + 3 + 18 + 9 + 12 = 666.

It is a super-2 number, since 2×706173189122 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70617318911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 202341714 + ... + 202342062.

It is an arithmetic number, because the mean of its divisors is an integer number (327529818).

Almost surely, 270617318912 is an apocalyptic number.

70617318912 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70617318912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131011927200).

70617318912 is an abundant number, since it is smaller than the sum of its proper divisors (191406535488).

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

70617318912 is a wasteful number, since it uses less digits than its factorization.

70617318912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The spelling of 70617318912 in words is "seventy billion, six hundred seventeen million, three hundred eighteen thousand, nine hundred twelve".