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59144121054 = 234897435521
BaseRepresentation
bin110111000101010000…
…111010101011011110
312122122212002122120000
4313011100322223132
51432111343333204
643100451435130
74162434506544
oct670520725336
9178585078500
1059144121054
11230a0350597
12b5672b5aa6
135767341045
142c10d3dd94
15181253e039
hexdc543aade

59144121054 has 80 divisors (see below), whose sum is σ = 134220382560. Its totient is φ = 19463431680.

The previous prime is 59144121053. The next prime is 59144121149. The reversal of 59144121054 is 45012144195.

59144121054 is a `hidden beast` number, since 591 + 4 + 4 + 1 + 2 + 10 + 54 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (59144121053) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10709814 + ... + 10715334.

It is an arithmetic number, because the mean of its divisors is an integer number (1677754782).

Almost surely, 259144121054 is an apocalyptic number.

59144121054 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 59144121054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67110191280).

59144121054 is an abundant number, since it is smaller than the sum of its proper divisors (75076261506).

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

59144121054 is a wasteful number, since it uses less digits than its factorization.

59144121054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6367 (or 6358 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 59144121054 in words is "fifty-nine billion, one hundred forty-four million, one hundred twenty-one thousand, fifty-four".

Divisors: 1 2 3 6 9 18 27 54 81 89 162 178 267 534 743 801 1486 1602 2229 2403 4458 4806 5521 6687 7209 11042 13374 14418 16563 20061 33126 40122 49689 60183 66127 99378 120366 132254 149067 198381 298134 396762 447201 491369 595143 894402 982738 1190286 1474107 1785429 2948214 3570858 4102103 4422321 5356287 8204206 8844642 10712574 12306309 13266963 24612618 26533926 36918927 39800889 73837854 79601778 110756781 221513562 332270343 365087167 664540686 730174334 1095261501 2190523002 3285784503 6571569006 9857353509 19714707018 29572060527 59144121054