Search a number
-
+
54018591561 = 3211270432
BaseRepresentation
bin110010010011110000…
…100100101101001001
312011102122111202220100
4302103300210231021
51341112224412221
640452113520013
73621426311064
oct622360445511
9164378452810
1054018591561
1120a000a5400
12a576873009
13512b4a075c
1428863238db
15161258d926
hexc93c24b49

54018591561 has 27 divisors (see below), whose sum is σ = 85777233997. Its totient is φ = 32733891960.

The previous prime is 54018591559. The next prime is 54018591623. The reversal of 54018591561 is 16519581045.

The square root of 54018591561 is 232419.

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

54018591561 is a `hidden beast` number, since 5 + 4 + 0 + 1 + 8 + 591 + 56 + 1 = 666.

It is not a de Polignac number, because 54018591561 - 21 = 54018591559 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (54018599561) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7666306 + ... + 7673348.

Almost surely, 254018591561 is an apocalyptic number.

54018591561 is the 232419-th square number.

54018591561 is the 116210-th centered octagonal number.

It is an amenable number.

54018591561 is a deficient number, since it is larger than the sum of its proper divisors (31758642436).

54018591561 is an frugal number, since it uses more digits than its factorization.

54018591561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14114 (or 7057 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 45.

The spelling of 54018591561 in words is "fifty-four billion, eighteen million, five hundred ninety-one thousand, five hundred sixty-one".

Divisors: 1 3 9 11 33 99 121 363 1089 7043 21129 63387 77473 232419 697257 852203 2556609 7669827 49603849 148811547 446434641 545642339 1636927017 4910781051 6002065729 18006197187 54018591561