Search a number
-
+
54765391104 = 2832127187163
BaseRepresentation
bin110011000000010001…
…011000110100000000
312020100200202010021200
4303000101120310000
51344124420003404
641054152221200
73646065100164
oct630021306400
9166320663250
1054765391104
11212536a9a06
12a74499a800
13521a117588
1429175a0ca4
151657e07839
hexcc0458d00

54765391104 has 108 divisors (see below), whose sum is σ = 159146297856. Its totient is φ = 18111292416.

The previous prime is 54765391033. The next prime is 54765391157. The reversal of 54765391104 is 40119356745.

54765391104 is a `hidden beast` number, since 5 + 4 + 7 + 6 + 539 + 1 + 104 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 54765391104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 199027 + ... + 386189.

It is an arithmetic number, because the mean of its divisors is an integer number (1473576832).

Almost surely, 254765391104 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 54765391104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79573148928).

54765391104 is an abundant number, since it is smaller than the sum of its proper divisors (104380906752).

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

54765391104 is a wasteful number, since it uses less digits than its factorization.

54765391104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187312 (or 187295 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 54765391104 in words is "fifty-four billion, seven hundred sixty-five million, three hundred ninety-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 127 128 144 192 254 256 288 381 384 508 576 762 768 1016 1143 1152 1524 2032 2286 2304 3048 4064 4572 6096 8128 9144 12192 16256 18288 24384 32512 36576 48768 73152 97536 146304 187163 292608 374326 561489 748652 1122978 1497304 1684467 2245956 2994608 3368934 4491912 5989216 6737868 8983824 11978432 13475736 17967648 23769701 23956864 26951472 35935296 47539402 47913728 53902944 71309103 71870592 95078804 107805888 142618206 143741184 190157608 213927309 215611776 285236412 380315216 427854618 431223552 570472824 760630432 855709236 1140945648 1521260864 1711418472 2281891296 3042521728 3422836944 4563782592 6085043456 6845673888 9127565184 13691347776 18255130368 27382695552 54765391104