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54545688144 = 2433126263167
BaseRepresentation
bin110010110011001011…
…010010011001010000
312012210101100001111000
4302303023102121100
51343202144010034
641020303222000
73640456461603
oct626313223120
9165711301430
1054545688144
1121150689912
12a6a32a7900
1351b375211c
1428d633033a
1516439aa599
hexcb32d2650

54545688144 has 40 divisors (see below), whose sum is σ = 156566328320. Its totient is φ = 18181895904.

The previous prime is 54545688121. The next prime is 54545688187. The reversal of 54545688144 is 44188654545.

54545688144 is a `hidden beast` number, since 5 + 4 + 545 + 6 + 88 + 14 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63131152 + ... + 63132015.

It is an arithmetic number, because the mean of its divisors is an integer number (3914158208).

Almost surely, 254545688144 is an apocalyptic number.

54545688144 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

54545688144 is an abundant number, since it is smaller than the sum of its proper divisors (102020640176).

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

54545688144 is a wasteful number, since it uses less digits than its factorization.

54545688144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126263184 (or 126263172 counting only the distinct ones).

The product of its digits is 12288000, while the sum is 54.

The spelling of 54545688144 in words is "fifty-four billion, five hundred forty-five million, six hundred eighty-eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 126263167 252526334 378789501 505052668 757579002 1010105336 1136368503 1515158004 2020210672 2272737006 3030316008 3409105509 4545474012 6060632016 6818211018 9090948024 13636422036 18181896048 27272844072 54545688144