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54290864016 = 2432194172
BaseRepresentation
bin110010100011111111…
…001101011110010000
312012010121211122111100
4302203333031132100
51342141430122031
640535121344400
73631243505244
oct624377153620
9165117748440
1054290864016
112102a860764
12a631a98100
135172a10a0c
1428b055a424
15162b421de6
hexca3fcd790

54290864016 has 45 divisors (see below), whose sum is σ = 151946840721. Its totient is φ = 18096022656.

The previous prime is 54290863999. The next prime is 54290864039. The reversal of 54290864016 is 61046809245.

The square root of 54290864016 is 233004.

It is a perfect power (a square), and thus also a powerful number.

54290864016 is a `hidden beast` number, since 542 + 90 + 8 + 6 + 4 + 0 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 139712400 + 54151151616 = 11820^2 + 232704^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2786340 + ... + 2805756.

Almost surely, 254290864016 is an apocalyptic number.

54290864016 is the 233004-th square number.

It is an amenable number.

54290864016 is an abundant number, since it is smaller than the sum of its proper divisors (97655976705).

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

54290864016 is an frugal number, since it uses more digits than its factorization.

54290864016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38848 (or 19422 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 54290864016 in words is "fifty-four billion, two hundred ninety million, eight hundred sixty-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 19417 38834 58251 77668 116502 155336 174753 233004 310672 349506 466008 699012 932016 1398024 2796048 377019889 754039778 1131059667 1508079556 2262119334 3016159112 3393179001 4524238668 6032318224 6786358002 9048477336 13572716004 18096954672 27145432008 54290864016