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5338697984 = 28311275297
BaseRepresentation
bin1001111100011011…
…00001000100000000
3111210001200221211222
410332031201010000
541413201313414
62241430454212
7246204120104
oct47615410400
914701627758
105338697984
11229a6128a4
12104bb04368
136710886b9
14389069904
15213a5b68e
hex13e361100

5338697984 has 72 divisors (see below), whose sum is σ = 11089010688. Its totient is φ = 2562416640.

The previous prime is 5338697971. The next prime is 5338697999. The reversal of 5338697984 is 4897968335.

It is a Harshad number since it is a multiple of its sum of digits (62).

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, 1005224 + ... + 1010520.

Almost surely, 25338697984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5338697984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5544505344).

5338697984 is an abundant number, since it is smaller than the sum of its proper divisors (5750312704).

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

5338697984 is a wasteful number, since it uses less digits than its factorization.

5338697984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5471 (or 5457 counting only the distinct ones).

The product of its digits is 39191040, while the sum is 62.

The square root of 5338697984 is about 73066.3943547237. The cubic root of 5338697984 is about 1747.7465399196.

The spelling of 5338697984 in words is "five billion, three hundred thirty-eight million, six hundred ninety-seven thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 31 32 62 64 124 127 128 248 254 256 496 508 992 1016 1984 2032 3937 3968 4064 5297 7874 7936 8128 10594 15748 16256 21188 31496 32512 42376 62992 84752 125984 164207 169504 251968 328414 339008 503936 656828 672719 678016 1007872 1313656 1345438 1356032 2627312 2690876 5254624 5381752 10509248 10763504 20854289 21018496 21527008 41708578 42036992 43054016 83417156 86108032 166834312 172216064 333668624 667337248 1334674496 2669348992 5338697984