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16146400256 = 21072252567
BaseRepresentation
bin11110000100110011…
…01000010000000000
31112200021022010012022
433002121220100000
5231031434302011
611230105221012
71111060065140
oct170231502000
945607263168
1016146400256
116936249548
123167491768
1316a41c47bc
14ad25a0920
156477b38db
hex3c2668400

16146400256 has 44 divisors (see below), whose sum is σ = 36888053568. Its totient is φ = 6919882752.

The previous prime is 16146400229. The next prime is 16146400271. The reversal of 16146400256 is 65200464161.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1119116 + ... + 1133451.

Almost surely, 216146400256 is an apocalyptic number.

16146400256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

16146400256 is an abundant number, since it is smaller than the sum of its proper divisors (20741653312).

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

16146400256 is an equidigital number, since it uses as much as digits as its factorization.

16146400256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2252594 (or 2252576 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The spelling of 16146400256 in words is "sixteen billion, one hundred forty-six million, four hundred thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1024 1792 3584 7168 2252567 4505134 9010268 15767969 18020536 31535938 36041072 63071876 72082144 126143752 144164288 252287504 288328576 504575008 576657152 1009150016 1153314304 2018300032 2306628608 4036600064 8073200128 16146400256