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14379678720 = 2103251122579
BaseRepresentation
bin11010110010001100…
…00111110000000000
31101010010220100212100
431121012013300000
5213422144204340
610334514230400
71016225152401
oct153106076000
941103810770
1014379678720
116109a54500
122953885400
131482186a44
149a5aab9a8
15592630830
hex359187c00

14379678720 has 396 divisors, whose sum is σ = 54787791240. Its totient is φ = 3484631040.

The previous prime is 14379678713. The next prime is 14379678749. The reversal of 14379678720 is 2787697341.

It is a tau number, because it is divible by the number of its divisors (396).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 5574391 + ... + 5576969.

Almost surely, 214379678720 is an apocalyptic number.

14379678720 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 14379678720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27393895620).

14379678720 is an abundant number, since it is smaller than the sum of its proper divisors (40408112520).

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

14379678720 is a wasteful number, since it uses less digits than its factorization.

14379678720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2632 (or 2600 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 14379678720 in words is "fourteen billion, three hundred seventy-nine million, six hundred seventy-eight thousand, seven hundred twenty".