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10014947390976 = 2931124171107173
BaseRepresentation
bin1001000110111100100101…
…1000011011011000000000
31022110102022220101101111120
42101233021120123120000
52303041103013002401
633144445303312240
72052361506151533
oct221571130333000
938412286341446
1010014947390976
113211351793100
121158b6974b680
13578536b14778
14268a2437aa1a
151257a2314836
hex91bc961b600

10014947390976 has 960 divisors, whose sum is σ = 30927303525888. Its totient is φ = 2875113472000.

The previous prime is 10014947390969. The next prime is 10014947390989. The reversal of 10014947390976 is 67909374941001.

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, 57889869226 + ... + 57889869398.

Almost surely, 210014947390976 is an apocalyptic number.

10014947390976 is a gapful number since it is divisible by the number (16) 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 10014947390976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15463651762944).

10014947390976 is an abundant number, since it is smaller than the sum of its proper divisors (20912356134912).

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

10014947390976 is a wasteful number, since it uses less digits than its factorization.

10014947390976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 10287648, while the sum is 60.

The spelling of 10014947390976 in words is "ten trillion, fourteen billion, nine hundred forty-seven million, three hundred ninety thousand, nine hundred seventy-six".