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23114063664 = 243356994033
BaseRepresentation
bin10101100001101101…
…001001111100110000
32012122212012002112000
4111201231021330300
5334314200014124
614341330334000
71445534204466
oct254155117460
965585162460
1023114063664
11989131715a
124590a2a300
1322448b8063
141193b00836
159043416c9
hex561b49f30

23114063664 has 80 divisors (see below), whose sum is σ = 66463231200. Its totient is φ = 7691065344.

The previous prime is 23114063659. The next prime is 23114063701. The reversal of 23114063664 is 46636041132.

23114063664 is a `hidden beast` number, since 2 + 3 + 1 + 14 + 0 + 636 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 15 ways as a sum of consecutive naturals, for example, 198792 + ... + 292824.

It is an arithmetic number, because the mean of its divisors is an integer number (830790390).

Almost surely, 223114063664 is an apocalyptic number.

23114063664 is a gapful number since it is divisible by the number (24) 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 23114063664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33231615600).

23114063664 is an abundant number, since it is smaller than the sum of its proper divisors (43349167536).

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

23114063664 is a wasteful number, since it uses less digits than its factorization.

23114063664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94619 (or 94607 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 23114063664 in words is "twenty-three billion, one hundred fourteen million, sixty-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 569 1138 1707 2276 3414 4552 5121 6828 9104 10242 13656 15363 20484 27312 30726 40968 61452 81936 94033 122904 188066 245808 282099 376132 564198 752264 846297 1128396 1504528 1692594 2256792 2538891 3385188 4513584 5077782 6770376 10155564 13540752 20311128 40622256 53504777 107009554 160514331 214019108 321028662 428038216 481542993 642057324 856076432 963085986 1284114648 1444628979 1926171972 2568229296 2889257958 3852343944 5778515916 7704687888 11557031832 23114063664