Search a number
-
+
54164433314772 = 223211857159601951
BaseRepresentation
bin11000101000011001000111…
…10011101010001111010100
321002210001212111010211122100
430110030203303222033110
524044412224412033042
6311110444104002100
714260152102511344
oct1424144363521724
9232701774124570
1054164433314772
11162930095a6920
1260a951b160330
13242b8b80b3cb1
14d53803168d24
1563de1b8c224c
hex314323cea3d4

54164433314772 has 72 divisors (see below), whose sum is σ = 149536814499072. Its totient is φ = 16394312304000.

The previous prime is 54164433314759. The next prime is 54164433314801. The reversal of 54164433314772 is 27741333446145.

54164433314772 is a `hidden beast` number, since 5 + 4 + 1 + 64 + 433 + 3 + 147 + 7 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79461604 + ... + 80140347.

It is an arithmetic number, because the mean of its divisors is an integer number (2076900201376).

Almost surely, 254164433314772 is an apocalyptic number.

It is an amenable number.

54164433314772 is an abundant number, since it is smaller than the sum of its proper divisors (95372381184300).

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

54164433314772 is a wasteful number, since it uses less digits than its factorization.

54164433314772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159602829 (or 159602824 counting only the distinct ones).

The product of its digits is 20321280, while the sum is 54.

The spelling of 54164433314772 in words is "fifty-four trillion, one hundred sixty-four billion, four hundred thirty-three million, three hundred fourteen thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 857 1714 2571 3428 5142 7713 9427 10284 15426 18854 28281 30852 37708 56562 84843 113124 169686 339372 159601951 319203902 478805853 638407804 957611706 1436417559 1755621461 1915223412 2872835118 3511242922 5266864383 5745670236 7022485844 10533728766 15800593149 21067457532 31601186298 63202372596 136778872007 273557744014 410336616021 547115488028 820673232042 1231009848063 1504567592077 1641346464084 2462019696126 3009135184154 4513702776231 4924039392252 6018270368308 9027405552462 13541108328693 18054811104924 27082216657386 54164433314772