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13371901320960 = 28335713113191197
BaseRepresentation
bin1100001010010110001101…
…1011011001111100000000
31202100100012210110002221000
43002211203123121330000
53223041123214232320
644234544444332000
72550042115564350
oct302454333317400
952310183402830
1013371901320960
114295a9a7666a6
1215bb692844000
1375cc70b08550
143432bc4acb60
15182c79325c90
hexc29636d9f00

13371901320960 has 2304 divisors, whose sum is σ = 59528019640320. Its totient is φ = 2767595765760.

The previous prime is 13371901320959. The next prime is 13371901321003. The reversal of 13371901320960 is 6902310917331.

13371901320960 is a `hidden beast` number, since 1 + 3 + 371 + 9 + 0 + 13 + 209 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 67877671582 + ... + 67877671778.

It is an arithmetic number, because the mean of its divisors is an integer number (25836814080).

Almost surely, 213371901320960 is an apocalyptic number.

13371901320960 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 13371901320960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29764009820160).

13371901320960 is an abundant number, since it is smaller than the sum of its proper divisors (46156118319360).

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

13371901320960 is a wasteful number, since it uses less digits than its factorization.

13371901320960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 45.

The spelling of 13371901320960 in words is "thirteen trillion, three hundred seventy-one billion, nine hundred one million, three hundred twenty thousand, nine hundred sixty".