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14973395374080 = 2123351113189361
BaseRepresentation
bin1101100111100100001111…
…1010011001000000000000
31222000102221200001100111000
43121321003322121000000
53430311003203432310
651502403300052000
73103535460460413
oct331710372310000
958012850040430
1014973395374080
1148531aa373330
121819b3b994000
13847ca6420a90
1439aa05391b7a
151ae75bb7c4c0
hexd9e43e99000

14973395374080 has 832 divisors, whose sum is σ = 62538906205440. Its totient is φ = 3350672179200.

The previous prime is 14973395374039. The next prime is 14973395374099. The reversal of 14973395374080 is 8047359337941.

It is a happy number.

14973395374080 is a `hidden beast` number, since 1 + 4 + 97 + 3 + 3 + 9 + 537 + 4 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (832).

It is a junction number, because it is equal to n+sod(n) for n = 14973395373999 and 14973395374017.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 78978600 + ... + 79167960.

Almost surely, 214973395374080 is an apocalyptic number.

14973395374080 is a gapful number since it is divisible by the number (10) 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 14973395374080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31269453102720).

14973395374080 is an abundant number, since it is smaller than the sum of its proper divisors (47565510831360).

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

14973395374080 is a wasteful number, since it uses less digits than its factorization.

14973395374080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189423 (or 189395 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 63.

The spelling of 14973395374080 in words is "fourteen trillion, nine hundred seventy-three billion, three hundred ninety-five million, three hundred seventy-four thousand, eighty".