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11730677256 = 23367092837
BaseRepresentation
bin10101110110011001…
…11110111000001000
31010021112100011000000
422323030332320020
5143011023133011
65220005043000
7563461053144
oct127314767010
933245304000
1011730677256
114a7a7304a1
1223346b6460
13114c41805c
147d3d52224
15489cc1356
hex2bb33ee08

11730677256 has 112 divisors (see below), whose sum is σ = 33035597100. Its totient is φ = 3903334272.

The previous prime is 11730677243. The next prime is 11730677269. The reversal of 11730677256 is 65277603711.

It is an interprime number because it is at equal distance from previous prime (11730677243) and next prime (11730677269).

It can be written as a sum of positive squares in 2 ways, for example, as 8981352900 + 2749324356 = 94770^2 + 52434^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 4133470 + ... + 4136306.

Almost surely, 211730677256 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 11730677256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16517798550).

11730677256 is an abundant number, since it is smaller than the sum of its proper divisors (21304919844).

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

11730677256 is an equidigital number, since it uses as much as digits as its factorization.

11730677256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3570 (or 3551 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The spelling of 11730677256 in words is "eleven billion, seven hundred thirty million, six hundred seventy-seven thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 709 729 972 1418 1458 1944 2127 2836 2837 2916 4254 5672 5674 5832 6381 8508 8511 11348 12762 17016 17022 19143 22696 25524 25533 34044 38286 51048 51066 57429 68088 76572 76599 102132 114858 153144 153198 172287 204264 229716 229797 306396 344574 459432 459594 516861 612792 689148 689391 919188 1033722 1378296 1378782 1838376 2011433 2067444 2068173 2757564 4022866 4134888 4136346 5515128 6034299 8045732 8272692 12068598 16091464 16545384 18102897 24137196 36205794 48274392 54308691 72411588 108617382 144823176 162926073 217234764 325852146 434469528 488778219 651704292 977556438 1303408584 1466334657 1955112876 2932669314 3910225752 5865338628 11730677256