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27946648128 = 263720793637
BaseRepresentation
bin11010000001110000…
…000000001001000000
32200010122112211010210
4122001300000021000
5424213320220003
620501041354120
72006354406150
oct320160001100
980118484123
1027946648128
1110941177413
1254bb338940
132834b5aaa9
1414d1862760
15ad8728503
hex681c00240

27946648128 has 56 divisors (see below), whose sum is σ = 84505344832. Its totient is φ = 7984756224.

The previous prime is 27946648097. The next prime is 27946648183. The reversal of 27946648128 is 82184664972.

It is a tau number, because it is divible by the number of its divisors (56).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10395475 + ... + 10398162.

Almost surely, 227946648128 is an apocalyptic number.

27946648128 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

27946648128 is an abundant number, since it is smaller than the sum of its proper divisors (56558696704).

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

27946648128 is a wasteful number, since it uses less digits than its factorization.

27946648128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20793659 (or 20793649 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 57.

The spelling of 27946648128 in words is "twenty-seven billion, nine hundred forty-six million, six hundred forty-eight thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 20793637 41587274 62380911 83174548 124761822 145555459 166349096 249523644 291110918 332698192 436666377 499047288 582221836 665396384 873332754 998094576 1164443672 1330792768 1746665508 1996189152 2328887344 3493331016 3992378304 4657774688 6986662032 9315549376 13973324064 27946648128