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12414694572 = 2232759383077
BaseRepresentation
bin10111000111111100…
…10011010010101100
31012001012102211100200
423203332103102230
5200411130211242
65411521553500
7616435106550
oct134376232254
935035384320
1012414694572
1152a0853865
1224a57a5890
13122b04c727
1485ab29860
154c9d8804c
hex2e3f934ac

12414694572 has 72 divisors (see below), whose sum is σ = 35925585696. Its totient is φ = 3541031424.

The previous prime is 12414694543. The next prime is 12414694597. The reversal of 12414694572 is 27549641421.

12414694572 is a `hidden beast` number, since 1 + 2 + 4 + 14 + 69 + 4 + 572 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107898 + ... + 190974.

It is an arithmetic number, because the mean of its divisors is an integer number (498966468).

Almost surely, 212414694572 is an apocalyptic number.

12414694572 is a gapful number since it is divisible by the number (12) 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 12414694572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17962792848).

12414694572 is an abundant number, since it is smaller than the sum of its proper divisors (23510891124).

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

12414694572 is a wasteful number, since it uses less digits than its factorization.

12414694572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83687 (or 83682 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The spelling of 12414694572 in words is "twelve billion, four hundred fourteen million, six hundred ninety-four thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 593 1186 1779 2372 3558 4151 5337 7116 8302 10674 12453 16604 21348 24906 37359 49812 74718 83077 149436 166154 249231 332308 498462 581539 747693 996924 1163078 1495386 1744617 2326156 2990772 3489234 5233851 6978468 10467702 20935404 49264661 98529322 147793983 197058644 295587966 344852627 443381949 591175932 689705254 886763898 1034557881 1379410508 1773527796 2069115762 3103673643 4138231524 6207347286 12414694572