Search a number
-
+
38794944672 = 25321112245879
BaseRepresentation
bin100100001000010110…
…111110000010100000
310201010200112101100200
4210020112332002200
51113423001212142
625453330145200
72542242405651
oct441026760240
9121120471320
1038794944672
11154a880a150
127628422200
13387350b083
141c40523528
151020ced64c
hex9085be0a0

38794944672 has 72 divisors (see below), whose sum is σ = 120352508640. Its totient is φ = 11756042880.

The previous prime is 38794944659. The next prime is 38794944709. The reversal of 38794944672 is 27644949783.

38794944672 is a `hidden beast` number, since 3 + 8 + 79 + 494 + 4 + 6 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6119772 + ... + 6126107.

It is an arithmetic number, because the mean of its divisors is an integer number (1671562620).

Almost surely, 238794944672 is an apocalyptic number.

38794944672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

38794944672 is an abundant number, since it is smaller than the sum of its proper divisors (81557563968).

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

38794944672 is a wasteful number, since it uses less digits than its factorization.

38794944672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12245906 (or 12245895 counting only the distinct ones).

The product of its digits is 73156608, while the sum is 63.

The spelling of 38794944672 in words is "thirty-eight billion, seven hundred ninety-four million, nine hundred forty-four thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 12245879 24491758 36737637 48983516 73475274 97967032 110212911 134704669 146950548 195934064 220425822 269409338 293901096 391868128 404114007 440851644 538818676 587802192 808228014 881703288 1077637352 1175604384 1212342021 1616456028 1763406576 2155274704 2424684042 3232912056 3526813152 4310549408 4849368084 6465824112 9698736168 12931648224 19397472336 38794944672