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12367479072 = 2531379125441
BaseRepresentation
bin10111000010010100…
…01100000100100000
31011220220121000212110
423201022030010200
5200312033312242
65403113555320
7615322560204
oct134112140440
934826530773
1012367479072
115277135093
122491a15b40
13122132a870
14854758b04
154c5b5d39c
hex2e128c120

12367479072 has 96 divisors (see below), whose sum is σ = 35404750080. Its totient is φ = 3757178880.

The previous prime is 12367479053. The next prime is 12367479079. The reversal of 12367479072 is 27097476321.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (12367479079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35872 + ... + 161312.

It is an arithmetic number, because the mean of its divisors is an integer number (368799480).

Almost surely, 212367479072 is an apocalyptic number.

12367479072 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 12367479072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17702375040).

12367479072 is an abundant number, since it is smaller than the sum of its proper divisors (23037271008).

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

12367479072 is a wasteful number, since it uses less digits than its factorization.

12367479072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125546 (or 125538 counting only the distinct ones).

The product of its (nonzero) digits is 889056, while the sum is 48.

The spelling of 12367479072 in words is "twelve billion, three hundred sixty-seven million, four hundred seventy-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 79 96 104 156 158 208 237 312 316 416 474 624 632 948 1027 1248 1264 1896 2054 2528 3081 3792 4108 6162 7584 8216 12324 16432 24648 32864 49296 98592 125441 250882 376323 501764 752646 1003528 1505292 1630733 2007056 3010584 3261466 4014112 4892199 6021168 6522932 9784398 9909839 12042336 13045864 19568796 19819678 26091728 29729517 39137592 39639356 52183456 59459034 78275184 79278712 118918068 128827907 156550368 158557424 237836136 257655814 317114848 386483721 475672272 515311628 772967442 951344544 1030623256 1545934884 2061246512 3091869768 4122493024 6183739536 12367479072