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12434637952 = 27113726451
BaseRepresentation
bin10111001010010100…
…11000010010000000
31012002120222001112101
423211022120102000
5200431231403302
65413513240144
7620066451532
oct134512302200
935076861471
1012434637952
1153010355a0
1224b0403054
131232213149
1485d63b852
154cb9c7287
hex2e5298480

12434637952 has 96 divisors (see below), whose sum is σ = 27778569840. Its totient is φ = 5498496000.

The previous prime is 12434637949. The next prime is 12434637977. The reversal of 12434637952 is 25973643421.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1924327 + ... + 1930777.

Almost surely, 212434637952 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 12434637952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13889284920).

12434637952 is an abundant number, since it is smaller than the sum of its proper divisors (15343931888).

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

12434637952 is an equidigital number, since it uses as much as digits as its factorization.

12434637952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6550 (or 6501 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 46.

The spelling of 12434637952 in words is "twelve billion, four hundred thirty-four million, six hundred thirty-seven thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 37 44 64 74 88 128 148 176 296 352 407 592 704 814 1184 1369 1408 1628 2368 2738 3256 4736 5476 6451 6512 10952 12902 13024 15059 21904 25804 26048 30118 43808 51608 52096 60236 70961 87616 103216 120472 141922 175232 206432 238687 240944 283844 412864 477374 481888 567688 825728 954748 963776 1135376 1909496 1927552 2270752 2625557 3818992 4541504 5251114 7637984 8831419 9083008 10502228 15275968 17662838 21004456 30551936 35325676 42008912 70651352 84017824 97145609 141302704 168035648 194291218 282605408 336071296 388582436 565210816 777164872 1130421632 1554329744 3108659488 6217318976 12434637952