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11459982954 = 2372915759929
BaseRepresentation
bin10101010110001000…
…10111011001101010
31002120122222110020010
422223010113121222
5141432223423304
65133055112350
7553663151010
oct125304273152
932518873203
1011459982954
1149509528a2
122279b126b6
13110830b204
147aa00a8b0
15471150789
hex2ab11766a

11459982954 has 64 divisors (see below), whose sum is σ = 27270547200. Its totient is φ = 3141186048.

The previous prime is 11459982949. The next prime is 11459983039. The reversal of 11459982954 is 45928995411.

11459982954 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×114599829542 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11459982894 and 11459982903.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 161262 + ... + 221190.

It is an arithmetic number, because the mean of its divisors is an integer number (426102300).

Almost surely, 211459982954 is an apocalyptic number.

11459982954 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11459982954, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13635273600).

11459982954 is an abundant number, since it is smaller than the sum of its proper divisors (15810564246).

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

11459982954 is a wasteful number, since it uses less digits than its factorization.

11459982954 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60127.

The product of its digits is 4665600, while the sum is 57.

The spelling of 11459982954 in words is "eleven billion, four hundred fifty-nine million, nine hundred eighty-two thousand, nine hundred fifty-four".

Divisors: 1 2 3 6 7 14 21 29 42 58 87 157 174 203 314 406 471 609 942 1099 1218 2198 3297 4553 6594 9106 13659 27318 31871 59929 63742 95613 119858 179787 191226 359574 419503 839006 1258509 1737941 2517018 3475882 5213823 9408853 10427646 12165587 18817706 24331174 28226559 36496761 56453118 65861971 72993522 131723942 197585913 272856737 395171826 545713474 818570211 1637140422 1909997159 3819994318 5729991477 11459982954