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12320081952 = 2532414391213
BaseRepresentation
bin10110111100101010…
…11000100000100000
31011210121102000020120
423132111120200200
5200212420110302
65354302040240
7614205653163
oct133625304040
934717360216
1012320081952
115252401a12
122479b79080
131214574129
1484c33bada
154c18e99bc
hex2de558820

12320081952 has 96 divisors (see below), whose sum is σ = 32575213440. Its totient is φ = 4076974080.

The previous prime is 12320081929. The next prime is 12320081989. The reversal of 12320081952 is 25918002321.

It is a happy number.

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

It is a super-2 number, since 2×123200819522 (a number of 21 digits) contains 22 as substring.

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, 10156098 + ... + 10157310.

It is an arithmetic number, because the mean of its divisors is an integer number (339325140).

Almost surely, 212320081952 is an apocalyptic number.

12320081952 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 12320081952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16287606720).

12320081952 is an abundant number, since it is smaller than the sum of its proper divisors (20255131488).

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

12320081952 is a wasteful number, since it uses less digits than its factorization.

12320081952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1906 (or 1898 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The spelling of 12320081952 in words is "twelve billion, three hundred twenty million, eighty-one thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 241 439 482 723 878 964 1213 1317 1446 1756 1928 2426 2634 2892 3512 3639 3856 4852 5268 5784 7024 7278 7712 9704 10536 11568 14048 14556 19408 21072 23136 29112 38816 42144 58224 105799 116448 211598 292333 317397 423196 532507 584666 634794 846392 876999 1065014 1169332 1269588 1597521 1692784 1753998 2130028 2338664 2539176 3195042 3385568 3507996 4260056 4677328 5078352 6390084 7015992 8520112 9354656 10156704 12780168 14031984 17040224 25560336 28063968 51120672 128334187 256668374 385002561 513336748 770005122 1026673496 1540010244 2053346992 3080020488 4106693984 6160040976 12320081952