Search a number
-
+
54041783832 = 23321674999007
BaseRepresentation
bin110010010101001001…
…000010111000011000
312011111021011001201100
4302111021002320120
51341134144040312
640454302551400
73622130404041
oct622511027030
9164437131640
1054041783832
1120a121a6073
12a582598560
135133230baa
14288943d8c8
1516146205dc
hexc95242e18

54041783832 has 96 divisors (see below), whose sum is σ = 147551040000. Its totient is φ = 17868192192.

The previous prime is 54041783813. The next prime is 54041783879. The reversal of 54041783832 is 23838714045.

54041783832 is a `hidden beast` number, since 540 + 4 + 1 + 78 + 3 + 8 + 32 = 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, 5995473 + ... + 6004479.

It is an arithmetic number, because the mean of its divisors is an integer number (1536990000).

Almost surely, 254041783832 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 54041783832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73775520000).

54041783832 is an abundant number, since it is smaller than the sum of its proper divisors (93509256168).

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

54041783832 is a wasteful number, since it uses less digits than its factorization.

54041783832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9685 (or 9678 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 54041783832 in words is "fifty-four billion, forty-one million, seven hundred eighty-three thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 167 334 499 501 668 998 1002 1336 1497 1503 1996 2004 2994 3006 3992 4008 4491 5988 6012 8982 9007 11976 12024 17964 18014 27021 35928 36028 54042 72056 81063 83333 108084 162126 166666 216168 249999 324252 333332 499998 648504 666664 749997 999996 1499994 1504169 1999992 2999988 3008338 4494493 4512507 5999976 6016676 8988986 9025014 12033352 13483479 13537521 17977972 18050028 26966958 27075042 35955944 36100056 40450437 53933916 54150084 80900874 107867832 108300168 161801748 323603496 750580331 1501160662 2251740993 3002321324 4503481986 6004642648 6755222979 9006963972 13510445958 18013927944 27020891916 54041783832