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12312481728 = 263536718059
BaseRepresentation
bin10110111011110000…
…11000111111000000
31011210002002212200210
423131320120333000
5200203443403403
65353431114120
7614054240121
oct133570307700
934702085623
1012312481728
115249090838
122477512940
131212b12961
1484b320048
154c0de7b03
hex2dde18fc0

12312481728 has 112 divisors (see below), whose sum is σ = 33688690560. Its totient is φ = 3966403584.

The previous prime is 12312481691. The next prime is 12312481747. The reversal of 12312481728 is 82718421321.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 672763 + ... + 690821.

It is an arithmetic number, because the mean of its divisors is an integer number (300791880).

Almost surely, 212312481728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12312481728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16844345280).

12312481728 is an abundant number, since it is smaller than the sum of its proper divisors (21376208832).

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

12312481728 is a wasteful number, since it uses less digits than its factorization.

12312481728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18194 (or 18184 counting only the distinct ones).

The product of its digits is 43008, while the sum is 39.

The spelling of 12312481728 in words is "twelve billion, three hundred twelve million, four hundred eighty-one thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 67 96 106 134 159 192 201 212 268 318 402 424 536 636 804 848 1072 1272 1608 1696 2144 2544 3216 3392 3551 4288 5088 6432 7102 10176 10653 12864 14204 18059 21306 28408 36118 42612 54177 56816 72236 85224 108354 113632 144472 170448 216708 227264 288944 340896 433416 577888 681792 866832 957127 1155776 1209953 1733664 1914254 2419906 2871381 3467328 3629859 3828508 4839812 5742762 7259718 7657016 9679624 11485524 14519436 15314032 19359248 22971048 29038872 30628064 38718496 45942096 58077744 61256128 64127509 77436992 91884192 116155488 128255018 183768384 192382527 232310976 256510036 384765054 513020072 769530108 1026040144 1539060216 2052080288 3078120432 4104160576 6156240864 12312481728