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13232660112 = 24327438273
BaseRepresentation
bin11000101001011101…
…00101111010010000
31021011012120210010200
430110232211322100
5204100030110422
610025021455200
7645626520000
oct142456457220
937135523120
1013232660112
115680545441
122693711500
13132b6529c9
148d7610000
15526aad2ac
hex314ba5e90

13232660112 has 150 divisors (see below), whose sum is σ = 43203806022. Its totient is φ = 3780661248.

The previous prime is 13232660047. The next prime is 13232660123. The reversal of 13232660112 is 21106623231.

13232660112 is a `hidden beast` number, since 1 + 3 + 23 + 26 + 601 + 12 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12878618256 + 354041856 = 113484^2 + 18816^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 326608 + ... + 364880.

Almost surely, 213232660112 is an apocalyptic number.

13232660112 is a gapful number since it is divisible by the number (12) 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 13232660112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21601903011).

13232660112 is an abundant number, since it is smaller than the sum of its proper divisors (29971145910).

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

13232660112 is an equidigital number, since it uses as much as digits as its factorization.

13232660112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38315 (or 38285 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 13232660112 in words is "thirteen billion, two hundred thirty-two million, six hundred sixty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 343 392 441 504 588 686 784 882 1008 1029 1176 1372 1764 2058 2352 2401 2744 3087 3528 4116 4802 5488 6174 7056 7203 8232 9604 12348 14406 16464 19208 21609 24696 28812 38273 38416 43218 49392 57624 76546 86436 114819 115248 153092 172872 229638 267911 306184 344457 345744 459276 535822 612368 688914 803733 918552 1071644 1377828 1607466 1837104 1875377 2143288 2411199 2755656 3214932 3750754 4286576 4822398 5511312 5626131 6429864 7501508 9644796 11252262 12859728 13127639 15003016 16878393 19289592 22504524 26255278 30006032 33756786 38579184 39382917 45009048 52510556 67513572 78765834 90018096 91893473 105021112 118148751 135027144 157531668 183786946 210042224 236297502 270054288 275680419 315063336 367573892 472595004 551360838 630126672 735147784 827041257 945190008 1102721676 1470295568 1654082514 1890380016 2205443352 3308165028 4410886704 6616330056 13232660112