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14926974976 = 212232832
BaseRepresentation
bin11011110011011011…
…11001000000000000
31102112021201220012001
431321231321000000
5221032301144401
610505104513344
71035622123324
oct157155710000
942467656161
1014926974976
11636a985261
122a8701b854
13153b68b694
14a18655984
155c56dc601
hex379b79000

14926974976 has 117 divisors (see below), whose sum is σ = 31585061179. Its totient is φ = 7052976128.

The previous prime is 14926974949. The next prime is 14926974977. The reversal of 14926974976 is 67947962941.

The square root of 14926974976 is 122176.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

Its product of digits (41150592) is a multiple of the sum of its prime divisors (108).

It is not an unprimeable number, because it can be changed into a prime (14926974977) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 179843031 + ... + 179843113.

Almost surely, 214926974976 is an apocalyptic number.

14926974976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

14926974976 is the 122176-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14926974976

14926974976 is an abundant number, since it is smaller than the sum of its proper divisors (16658086203).

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

14926974976 is an frugal number, since it uses more digits than its factorization.

14926974976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 108 counting only the distinct ones).

The product of its digits is 41150592, while the sum is 64.

Multiplying 14926974976 by its sum of digits (64), we get a square (955326398464 = 9774082).

14926974976 divided by its sum of digits (64) gives a square (233233984 = 152722).

The spelling of 14926974976 in words is "fourteen billion, nine hundred twenty-six million, nine hundred seventy-four thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 23 32 46 64 83 92 128 166 184 256 332 368 512 529 664 736 1024 1058 1328 1472 1909 2048 2116 2656 2944 3818 4096 4232 5312 5888 6889 7636 8464 10624 11776 13778 15272 16928 21248 23552 27556 30544 33856 42496 43907 47104 55112 61088 67712 84992 87814 94208 110224 122176 135424 158447 169984 175628 220448 244352 270848 316894 339968 351256 440896 488704 541696 633788 702512 881792 977408 1083392 1267576 1405024 1763584 1954816 2166784 2535152 2810048 3527168 3644281 3909632 5070304 5620096 7054336 7288562 7819264 10140608 11240192 14108672 14577124 20281216 22480384 28217344 29154248 40562432 44960768 58308496 81124864 89921536 116616992 162249728 179843072 233233984 324499456 466467968 648998912 932935936 1865871872 3731743744 7463487488 14926974976