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55144121616 = 2432419340129
BaseRepresentation
bin110011010110110110…
…001000010100010000
312021100002101121212200
4303112312020110100
51400413343342431
641155521523200
73661344204603
oct632666102420
9167302347780
1055144121616
1121428467831
12a82b7a3500
13527a71c97c
1429519ca33a
15167b2b8ee6
hexcd6d88510

55144121616 has 60 divisors (see below), whose sum is σ = 158091040380. Its totient is φ = 17933045760.

The previous prime is 55144121609. The next prime is 55144121621. The reversal of 55144121616 is 61612144155.

55144121616 is a `hidden beast` number, since 5 + 5 + 14 + 4 + 1 + 21 + 616 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 18280121616 + 36864000000 = 135204^2 + 192000^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4664161 + ... + 4675968.

It is an arithmetic number, because the mean of its divisors is an integer number (2634850673).

Almost surely, 255144121616 is an apocalyptic number.

It is an amenable number.

55144121616 is an abundant number, since it is smaller than the sum of its proper divisors (102946918764).

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

55144121616 is a wasteful number, since it uses less digits than its factorization.

55144121616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9340184 (or 9340175 counting only the distinct ones).

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

The spelling of 55144121616 in words is "fifty-five billion, one hundred forty-four million, one hundred twenty-one thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 72 82 123 144 164 246 328 369 492 656 738 984 1476 1968 2952 5904 9340129 18680258 28020387 37360516 56040774 74721032 84061161 112081548 149442064 168122322 224163096 336244644 382945289 448326192 672489288 765890578 1148835867 1344978576 1531781156 2297671734 3063562312 3446507601 4595343468 6127124624 6893015202 9190686936 13786030404 18381373872 27572060808 55144121616