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6913989688320 = 2103351113367953
BaseRepresentation
bin110010010011100100111…
…1001100011110000000000
3220110222012211101102202000
41210213021321203300000
51401234322330011240
622412124254024000
71312343052452061
oct144471171436000
926428184342660
106913989688320
11222622aa28130
12937b891a8000
133b1ca9257390
1419c8d3166568
15becae75c430
hex649c9e63c00

6913989688320 has 1408 divisors, whose sum is σ = 28975741562880. Its totient is φ = 1541351669760.

The previous prime is 6913989688279. The next prime is 6913989688339. The reversal of 6913989688320 is 238869893196.

6913989688320 is a `hidden beast` number, since 6 + 9 + 139 + 8 + 96 + 88 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7254972964 + ... + 7254973916.

Almost surely, 26913989688320 is an apocalyptic number.

6913989688320 is a gapful number since it is divisible by the number (60) 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 6913989688320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14487870781440).

6913989688320 is an abundant number, since it is smaller than the sum of its proper divisors (22061751874560).

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

6913989688320 is a wasteful number, since it uses less digits than its factorization.

6913989688320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1378 (or 1354 counting only the distinct ones).

The product of its (nonzero) digits is 241864704, while the sum is 72.

The spelling of 6913989688320 in words is "six trillion, nine hundred thirteen billion, nine hundred eighty-nine million, six hundred eighty-eight thousand, three hundred twenty".