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54912114144 = 2532190667063
BaseRepresentation
bin110011001001000001…
…000101110111100000
312020201220211102110100
4303021001011313200
51344430000123034
641120513102400
73652526161146
oct631101056740
9166656742410
1054912114144
1121319503118
12a785b57a00
135241639a44
14292cc75596
151665c3b099
hexcc9045de0

54912114144 has 36 divisors (see below), whose sum is σ = 156156325416. Its totient is φ = 18304037952.

The previous prime is 54912114121. The next prime is 54912114157. The reversal of 54912114144 is 44141121945.

54912114144 is a `hidden beast` number, since 5 + 491 + 21 + 1 + 4 + 144 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 54912114099 and 54912114108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 95333244 + ... + 95333819.

It is an arithmetic number, because the mean of its divisors is an integer number (4337675706).

Almost surely, 254912114144 is an apocalyptic number.

It is an amenable number.

54912114144 is an abundant number, since it is smaller than the sum of its proper divisors (101244211272).

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

54912114144 is a wasteful number, since it uses less digits than its factorization.

54912114144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190667079 (or 190667068 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The spelling of 54912114144 in words is "fifty-four billion, nine hundred twelve million, one hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 190667063 381334126 572001189 762668252 1144002378 1525336504 1716003567 2288004756 3050673008 3432007134 4576009512 6101346016 6864014268 9152019024 13728028536 18304038048 27456057072 54912114144