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54144190592 = 2713121572
BaseRepresentation
bin110010011011001111…
…101100100010000000
312011202101211212101022
4302123033230202000
51341341403044332
640512401525012
73624513012032
oct623317544200
9164671755338
1054144190592
1120a64a90858
12a5b0943768
13514b507ccb
142898c99c52
15161d5ed212
hexc9b3ec880

54144190592 has 72 divisors (see below), whose sum is σ = 109391800005. Its totient is φ = 26694320640.

The previous prime is 54144190591. The next prime is 54144190619. The reversal of 54144190592 is 29509144145.

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 2 ways, for example, as 51718037056 + 2426153536 = 227416^2 + 49256^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=164536.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (54144190591) 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, 344867378 + ... + 344867534.

Almost surely, 254144190592 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54144190592

54144190592 is an abundant number, since it is smaller than the sum of its proper divisors (55247609413).

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

54144190592 is an frugal number, since it uses more digits than its factorization.

54144190592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 44.

The spelling of 54144190592 in words is "fifty-four billion, one hundred forty-four million, one hundred ninety thousand, five hundred ninety-two".

Divisors: 1 2 4 8 16 32 64 128 131 157 262 314 524 628 1048 1256 2096 2512 4192 5024 8384 10048 16768 17161 20096 20567 24649 34322 41134 49298 68644 82268 98596 137288 164536 197192 274576 329072 394384 549152 658144 788768 1098304 1316288 1577536 2196608 2632576 2694277 3155072 3229019 5388554 6458038 10777108 12916076 21554216 25832152 43108432 51664304 86216864 103328608 172433728 206657216 344867456 413314432 423001489 846002978 1692005956 3384011912 6768023824 13536047648 27072095296 54144190592