Search a number
-
+
59142829644 = 22331274311959
BaseRepresentation
bin110111000101001011…
…111111011001001100
312122122202200001002000
4313011023333121030
51432111031022034
643100404032300
74162420520523
oct670513773114
9178582601060
1059142829644
112309a649308
12b566992690
135766cab2b2
142c10ac54ba
151812386599
hexdc52ff64c

59142829644 has 48 divisors (see below), whose sum is σ = 154540646400. Its totient is φ = 19559041488.

The previous prime is 59142829639. The next prime is 59142829657. The reversal of 59142829644 is 44692824195.

59142829644 is a `hidden beast` number, since 5 + 91 + 428 + 2 + 96 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2142264 + ... + 2169695.

It is an arithmetic number, because the mean of its divisors is an integer number (3219596800).

Almost surely, 259142829644 is an apocalyptic number.

59142829644 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

59142829644 is an abundant number, since it is smaller than the sum of its proper divisors (95397816756).

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

59142829644 is a wasteful number, since it uses less digits than its factorization.

59142829644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4312099 (or 4312091 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The spelling of 59142829644 in words is "fifty-nine billion, one hundred forty-two million, eight hundred twenty-nine thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 127 254 381 508 762 1143 1524 2286 3429 4572 6858 13716 4311959 8623918 12935877 17247836 25871754 38807631 51743508 77615262 116422893 155230524 232845786 465691572 547618793 1095237586 1642856379 2190475172 3285712758 4928569137 6571425516 9857138274 14785707411 19714276548 29571414822 59142829644