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5142105768 = 2332329321221
BaseRepresentation
bin1001100100111111…
…00100111010101000
3111021100210001000210
410302133210322220
541012334341033
62210125101120
7241266115002
oct46237447250
914240701023
105142105768
1121a9648198
12bb60b77a0
1363c425547
1436acd3372
15201676d63
hex1327e4ea8

5142105768 has 64 divisors (see below), whose sum is σ = 13876790400. Its totient is φ = 1582972160.

The previous prime is 5142105767. The next prime is 5142105781. The reversal of 5142105768 is 8675012415.

It is not an unprimeable number, because it can be changed into a prime (5142105767) 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 15 ways as a sum of consecutive naturals, for example, 144603 + ... + 176618.

It is an arithmetic number, because the mean of its divisors is an integer number (216824850).

Almost surely, 25142105768 is an apocalyptic number.

5142105768 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

5142105768 is an abundant number, since it is smaller than the sum of its proper divisors (8734684632).

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

5142105768 is a wasteful number, since it uses less digits than its factorization.

5142105768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321282 (or 321278 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 39.

The square root of 5142105768 is about 71708.4776578056. The cubic root of 5142105768 is about 1726.0246820206.

The spelling of 5142105768 in words is "five billion, one hundred forty-two million, one hundred five thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 23 24 29 46 58 69 87 92 116 138 174 184 232 276 348 552 667 696 1334 2001 2668 4002 5336 8004 16008 321221 642442 963663 1284884 1927326 2569768 3854652 7388083 7709304 9315409 14776166 18630818 22164249 27946227 29552332 37261636 44328498 55892454 59104664 74523272 88656996 111784908 177313992 214254407 223569816 428508814 642763221 857017628 1285526442 1714035256 2571052884 5142105768