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12302996688 = 24353785523
BaseRepresentation
bin10110111010101000…
…01101010011010000
31011202102020222200000
423131110031103100
5200144031343223
65352451530000
7613610514003
oct133524152320
934672228600
1012302996688
1152437a2564
1224742b9900
131210b715c8
14849d7153a
154c0172543
hex2dd50d4d0

12302996688 has 120 divisors (see below), whose sum is σ = 36672007008. Its totient is φ = 3990114432.

The previous prime is 12302996669. The next prime is 12302996711. The reversal of 12302996688 is 88669920321.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101095 + ... + 186617.

Almost surely, 212302996688 is an apocalyptic number.

12302996688 is a gapful number since it is divisible by the number (18) 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 12302996688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18336003504).

12302996688 is an abundant number, since it is smaller than the sum of its proper divisors (24369010320).

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

12302996688 is an equidigital number, since it uses as much as digits as its factorization.

12302996688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85583 (or 85565 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 12302996688 in words is "twelve billion, three hundred two million, nine hundred ninety-six thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 37 48 54 72 74 81 108 111 144 148 162 216 222 243 296 324 333 432 444 486 592 648 666 888 972 999 1296 1332 1776 1944 1998 2664 2997 3888 3996 5328 5994 7992 8991 11988 15984 17982 23976 35964 47952 71928 85523 143856 171046 256569 342092 513138 684184 769707 1026276 1368368 1539414 2052552 2309121 3078828 3164351 4105104 4618242 6157656 6328702 6927363 9236484 9493053 12315312 12657404 13854726 18472968 18986106 20782089 25314808 27709452 28479159 36945936 37972212 41564178 50629616 55418904 56958318 75944424 83128356 85437477 110837808 113916636 151888848 166256712 170874954 227833272 256312431 332513424 341749908 455666544 512624862 683499816 768937293 1025249724 1366999632 1537874586 2050499448 3075749172 4100998896 6151498344 12302996688