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13480813332 = 22327131408361
BaseRepresentation
bin11001000111000010…
…01110001100010100
31021210111112021100200
430203201032030110
5210102042011312
610105404340500
7655032010530
oct144341161424
937714467320
1013480813332
115798627648
122742844730
13136ab9992c
1491c568bc0
1553d77a0dc
hex32384e314

13480813332 has 72 divisors (see below), whose sum is σ = 39241954752. Its totient is φ = 3822249600.

The previous prime is 13480813331. The next prime is 13480813351. The reversal of 13480813332 is 23331808431.

13480813332 is a `hidden beast` number, since 13 + 480 + 8 + 133 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13480813331) 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, 171169 + ... + 237192.

Almost surely, 213480813332 is an apocalyptic number.

13480813332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13480813332 is an abundant number, since it is smaller than the sum of its proper divisors (25761141420).

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

13480813332 is a wasteful number, since it uses less digits than its factorization.

13480813332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408509 (or 408504 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 13480813332 in words is "thirteen billion, four hundred eighty million, eight hundred thirteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 131 252 262 393 524 786 917 1179 1572 1834 2358 2751 3668 4716 5502 8253 11004 16506 33012 408361 816722 1225083 1633444 2450166 2858527 3675249 4900332 5717054 7350498 8575581 11434108 14700996 17151162 25726743 34302324 51453486 53495291 102906972 106990582 160485873 213981164 320971746 374467037 481457619 641943492 748934074 962915238 1123401111 1497868148 1925830476 2246802222 3370203333 4493604444 6740406666 13480813332