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54510736928 = 2514922772
BaseRepresentation
bin110010110001000101…
…111101011000100000
312012200221120100102112
4302301011331120200
51343114222040203
641013014134452
73636553422164
oct626105753040
9165627510375
1054510736928
112113298750a
12a693651428
1351a943562b
1428d1832ca4
1516408a46d8
hexcb117d620

54510736928 has 54 divisors (see below), whose sum is σ = 108434557791. Its totient is φ = 26974712064.

The previous prime is 54510736921. The next prime is 54510737027. The reversal of 54510736928 is 82963701545.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 3429904 + 54507307024 = 1852^2 + 233468^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=165092.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (54510736921) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 196789526 + ... + 196789802.

It is a 2-persistent number, because it is pandigital, and so is 2⋅54510736928 = 109021473856, but 3⋅54510736928 = 163532210784 is not.

Almost surely, 254510736928 is an apocalyptic number.

It is an amenable number.

54510736928 is a deficient number, since it is larger than the sum of its proper divisors (53923820863).

54510736928 is an frugal number, since it uses more digits than its factorization.

54510736928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 50.

Multiplying 54510736928 by its sum of digits (50), we get a square (2725536846400 = 16509202).

The spelling of 54510736928 in words is "fifty-four billion, five hundred ten million, seven hundred thirty-six thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 32 149 277 298 554 596 1108 1192 2216 2384 4432 4768 8864 22201 41273 44402 76729 82546 88804 153458 165092 177608 306916 330184 355216 613832 660368 710432 1227664 1320736 2455328 6149677 11432621 12299354 22865242 24598708 45730484 49197416 91460968 98394832 182921936 196789664 365843872 1703460529 3406921058 6813842116 13627684232 27255368464 54510736928