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13364398964 = 2272313759447
BaseRepresentation
bin11000111001001010…
…01000101101110100
31021111101110210212102
430130211020231310
5204332241231324
610050045241232
7652116342200
oct143445105564
937441423772
1013364398964
115738944824
12270b863218
13134ca29aa7
1490ad03b00
15533431dae
hex31c948b74

13364398964 has 72 divisors (see below), whose sum is σ = 28843218432. Its totient is φ = 5392941120.

The previous prime is 13364398951. The next prime is 13364398969. The reversal of 13364398964 is 46989346331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13364398969) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 195089 + ... + 254535.

It is an arithmetic number, because the mean of its divisors is an integer number (400600256).

Almost surely, 213364398964 is an apocalyptic number.

13364398964 is a gapful number since it is divisible by the number (14) 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 13364398964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14421609216).

13364398964 is an abundant number, since it is smaller than the sum of its proper divisors (15478819468).

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

13364398964 is a wasteful number, since it uses less digits than its factorization.

13364398964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59533 (or 59524 counting only the distinct ones).

The product of its digits is 10077696, while the sum is 56.

The spelling of 13364398964 in words is "thirteen billion, three hundred sixty-four million, three hundred ninety-eight thousand, nine hundred sixty-four".

Divisors: 1 2 4 7 14 28 31 37 49 62 74 98 124 148 196 217 259 434 518 868 1036 1147 1519 1813 2294 3038 3626 4588 6076 7252 8029 16058 32116 56203 59447 112406 118894 224812 237788 416129 832258 1664516 1842857 2199539 2912903 3685714 4399078 5825806 7371428 8798156 11651612 12899999 15396773 25799998 30793546 51599996 61587092 68185709 90299993 107777411 136371418 180599986 215554822 272742836 361199972 431109644 477299963 954599926 1909199852 3341099741 6682199482 13364398964