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12428332347456 = 26321468912
BaseRepresentation
bin1011010011011011001001…
…0101011011000001000000
31122000010200211221211221100
42310312302111123001000
53112111211040104311
642233255210454400
72421626442623424
oct264666225330100
948003624854840
1012428332347456
113a6190a671193
12148883b434400
136c1ca9a6105c
1430d76a924b84
15168451d2da56
hexb4db255b040

12428332347456 has 63 divisors (see below), whose sum is σ = 35623813188223. Its totient is φ = 4142749246080.

The previous prime is 12428332347437. The next prime is 12428332347479. The reversal of 12428332347456 is 65474323382421.

It is a happy number.

The square root of 12428332347456 is 3525384.

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

12428332347456 is a `hidden beast` number, since 1 + 2 + 42 + 83 + 3 + 2 + 3 + 474 + 56 = 666.

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 84535771 + ... + 84682661.

Almost surely, 212428332347456 is an apocalyptic number.

12428332347456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12428332347456 is the 3525384-th square number.

It is an amenable number.

12428332347456 is an abundant number, since it is smaller than the sum of its proper divisors (23195480840767).

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

12428332347456 is an frugal number, since it uses more digits than its factorization.

12428332347456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293800 (or 146896 counting only the distinct ones).

The product of its digits is 23224320, while the sum is 54.

The spelling of 12428332347456 in words is "twelve trillion, four hundred twenty-eight billion, three hundred thirty-two million, three hundred forty-seven thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 146891 293782 440673 587564 881346 1175128 1322019 1762692 2350256 2644038 3525384 4700512 5288076 7050768 9401024 10576152 14101536 21152304 28203072 42304608 84609216 21576965881 43153931762 64730897643 86307863524 129461795286 172615727048 194192692929 258923590572 345231454096 388385385858 517847181144 690462908192 776770771716 1035694362288 1380925816384 1553541543432 2071388724576 3107083086864 4142777449152 6214166173728 12428332347456