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54564221334 = 2377921797547
BaseRepresentation
bin110010110100010001…
…111111000110010110
312012211200012122020110
4302310101333012112
51343221420040314
641022204343450
73641103141330
oct626421770626
9165750178213
1054564221334
11211600980a7
12a6a9544b86
1351b75409cc
1428d8996450
15164541ba59
hexcb447f196

54564221334 has 64 divisors (see below), whose sum is σ = 126371635200. Its totient is φ = 15383335968.

The previous prime is 54564221329. The next prime is 54564221353. The reversal of 54564221334 is 43312246545.

It is a junction number, because it is equal to n+sod(n) for n = 54564221292 and 54564221301.

It is a congruent 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 31 ways as a sum of consecutive naturals, for example, 7226149 + ... + 7233695.

It is an arithmetic number, because the mean of its divisors is an integer number (1974556800).

Almost surely, 254564221334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54564221334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63185817600).

54564221334 is an abundant number, since it is smaller than the sum of its proper divisors (71807413866).

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

54564221334 is a wasteful number, since it uses less digits than its factorization.

54564221334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9817.

The product of its digits is 345600, while the sum is 39.

Adding to 54564221334 its reverse (43312246545), we get a palindrome (97876467879).

The spelling of 54564221334 in words is "fifty-four billion, five hundred sixty-four million, two hundred twenty-one thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 79 158 237 474 553 1106 1659 2179 3318 4358 6537 7547 13074 15094 15253 22641 30506 45282 45759 52829 91518 105658 158487 172141 316974 344282 516423 596213 1032846 1192426 1204987 1788639 2409974 3577278 3614961 4173491 7229922 8346982 12520473 16444913 25040946 32889826 49334739 98669478 115114391 230228782 345343173 690686346 1299148127 2598296254 3897444381 7794888762 9094036889 18188073778 27282110667 54564221334