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13802912256 = 29371283753
BaseRepresentation
bin11001101101011011…
…11011101000000000
31022121221121121000110
430312231323220000
5211232021143011
610201352151320
7666022550460
oct146655735000
938557547013
1013802912256
115943425301
122812698540
1313bc834303
1494d251ba0
1555bba1ba6
hex336b7ba00

13802912256 has 80 divisors (see below), whose sum is σ = 42024970944. Its totient is φ = 3943686144.

The previous prime is 13802912251. The next prime is 13802912309. The reversal of 13802912256 is 65221920831.

13802912256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (13802912251) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 631125 + ... + 652628.

Almost surely, 213802912256 is an apocalyptic number.

13802912256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13802912256 is an abundant number, since it is smaller than the sum of its proper divisors (28222058688).

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

13802912256 is an equidigital number, since it uses as much as digits as its factorization.

13802912256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1283781 (or 1283765 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The spelling of 13802912256 in words is "thirteen billion, eight hundred two million, nine hundred twelve thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1344 1536 1792 2688 3584 5376 10752 1283753 2567506 3851259 5135012 7702518 8986271 10270024 15405036 17972542 20540048 26958813 30810072 35945084 41080096 53917626 61620144 71890168 82160192 107835252 123240288 143780336 164320384 215670504 246480576 287560672 328640768 431341008 492961152 575121344 657281536 862682016 985922304 1150242688 1725364032 1971844608 2300485376 3450728064 4600970752 6901456128 13802912256