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27394744320 = 21334523359
BaseRepresentation
bin11001100000110110…
…101010000000000000
32121201012001012110000
4121200312222000000
5422101023304240
620330204240000
71656603325146
oct314066520000
977635035400
1027394744320
1110688689969
125386540000
132777701ba8
14147c439596
15aa505b430
hex660daa000

27394744320 has 560 divisors, whose sum is σ = 102764661120. Its totient is φ = 6968180736.

The previous prime is 27394744319. The next prime is 27394744339. The reversal of 27394744320 is 2344749372.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 39 ways as a sum of consecutive naturals, for example, 76308301 + ... + 76308659.

Almost surely, 227394744320 is an apocalyptic number.

27394744320 is a gapful number since it is divisible by the number (20) 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 27394744320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51382330560).

27394744320 is an abundant number, since it is smaller than the sum of its proper divisors (75369916800).

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

27394744320 is an equidigital number, since it uses as much as digits as its factorization.

27394744320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The spelling of 27394744320 in words is "twenty-seven billion, three hundred ninety-four million, seven hundred forty-four thousand, three hundred twenty".