Search a number
-
+
38896561944 = 23324331673967
BaseRepresentation
bin100100001110011010…
…100110111100011000
310201101202202002001100
4210032122212330120
51114130004440234
625511400151400
72544615215142
oct441632467430
9121352662040
1038896561944
1115550105769
127656468560
13388b599a36
141c4dc15c92
151029bc2399
hex90e6a6f18

38896561944 has 96 divisors (see below), whose sum is σ = 107855953920. Its totient is φ = 12656806848.

The previous prime is 38896561883. The next prime is 38896562053. The reversal of 38896561944 is 44916569883.

38896561944 is a `hidden beast` number, since 3 + 8 + 8 + 9 + 6 + 5 + 619 + 4 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9803049 + ... + 9807015.

It is an arithmetic number, because the mean of its divisors is an integer number (1123499520).

Almost surely, 238896561944 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 38896561944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53927976960).

38896561944 is an abundant number, since it is smaller than the sum of its proper divisors (68959391976).

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

38896561944 is a wasteful number, since it uses less digits than its factorization.

38896561944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7189 (or 7182 counting only the distinct ones).

The product of its digits is 44789760, while the sum is 63.

The spelling of 38896561944 in words is "thirty-eight billion, eight hundred ninety-six million, five hundred sixty-one thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 43 72 86 129 172 258 344 387 516 774 1032 1548 3096 3167 3967 6334 7934 9501 11901 12668 15868 19002 23802 25336 28503 31736 35703 38004 47604 57006 71406 76008 95208 114012 136181 142812 170581 228024 272362 285624 341162 408543 511743 544724 682324 817086 1023486 1089448 1225629 1364648 1535229 1634172 2046972 2451258 3070458 3268344 4093944 4902516 6140916 9805032 12281832 12563489 25126978 37690467 50253956 75380934 100507912 113071401 150761868 226142802 301523736 452285604 540230027 904571208 1080460054 1620690081 2160920108 3241380162 4321840216 4862070243 6482760324 9724140486 12965520648 19448280972 38896561944