Search a number
-
+
54622233796 = 221328921012
BaseRepresentation
bin110010110111101111…
…010010010011000100
312012222201100222101011
4302313233102103010
51343331242440141
641032040012004
73642406220014
oct626757222304
9165881328334
1054622233796
112118a910789
12a704a61004
1351c6573100
142902577c44
15164a57a881
hexcb7bd24c4

54622233796 has 81 divisors (see below), whose sum is σ = 105730323573. Its totient is φ = 24680198400.

The previous prime is 54622233779. The next prime is 54622233821. The reversal of 54622233796 is 69733222645.

The square root of 54622233796 is 233714.

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

It can be written as a sum of positive squares in 13 ways, for example, as 34666716100 + 19955517696 = 186190^2 + 141264^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 540814146 + ... + 540814246.

Almost surely, 254622233796 is an apocalyptic number.

54622233796 is the 233714-th square number.

It is an amenable number.

54622233796 is a deficient number, since it is larger than the sum of its proper divisors (51108089777).

54622233796 is a wasteful number, since it uses less digits than its factorization.

54622233796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 205 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 49.

Multiplying 54622233796 by its sum of digits (49), we get a square (2676489456004 = 16359982).

The spelling of 54622233796 in words is "fifty-four billion, six hundred twenty-two million, two hundred thirty-three thousand, seven hundred ninety-six".

Divisors: 1 2 4 13 26 52 89 101 169 178 202 338 356 404 676 1157 1313 2314 2626 4628 5252 7921 8989 10201 15041 15842 17069 17978 20402 30082 31684 34138 35956 40804 60164 68276 102973 116857 132613 205946 233714 265226 411892 467428 530452 800021 907889 1338649 1519141 1600042 1723969 1815778 2677298 3038282 3200084 3447938 3631556 5354596 6076564 6895876 10400273 11802557 20800546 23605114 41601092 47210228 80802121 135203549 153433241 161604242 270407098 306866482 323208484 540814196 613732964 1050427573 2100855146 4201710292 13655558449 27311116898 54622233796