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13902452496 = 243419735437
BaseRepresentation
bin11001111001010011…
…01001011100010000
31022212212220202120000
430330221221130100
5211433011434441
610215305450000
71001341616322
oct147451513420
938785822500
1013902452496
115994632369
12283baa0900
13140734676a
1495c563612
155657b52b6
hex33ca69710

13902452496 has 100 divisors (see below), whose sum is σ = 40265529612. Its totient is φ = 4630950144.

The previous prime is 13902452449. The next prime is 13902452519. The reversal of 13902452496 is 69425420931.

13902452496 is a `hidden beast` number, since 1 + 3 + 90 + 24 + 52 + 496 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5309162496 + 8593290000 = 72864^2 + 92700^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2554290 + ... + 2559726.

Almost surely, 213902452496 is an apocalyptic number.

13902452496 is a gapful number since it is divisible by the number (16) 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 13902452496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20132764806).

13902452496 is an abundant number, since it is smaller than the sum of its proper divisors (26363077116).

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

13902452496 is a wasteful number, since it uses less digits than its factorization.

13902452496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7430 (or 7415 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 13902452496 in words is "thirteen billion, nine hundred two million, four hundred fifty-two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 1973 3946 5437 5919 7892 10874 11838 15784 16311 17757 21748 23676 31568 32622 35514 43496 47352 48933 53271 65244 71028 86992 94704 97866 106542 130488 142056 146799 159813 195732 213084 260976 284112 293598 319626 391464 426168 440397 587196 639252 782928 852336 880794 1174392 1278504 1761588 2348784 2557008 3523176 7046352 10727201 21454402 32181603 42908804 64363206 85817608 96544809 128726412 171635216 193089618 257452824 289634427 386179236 514905648 579268854 772358472 868903281 1158537708 1544716944 1737806562 2317075416 3475613124 4634150832 6951226248 13902452496