Search a number
-
+
18194915076 = 223137314910723
BaseRepresentation
bin10000111100100000…
…000101111100000100
31201222000221110020120
4100330200011330010
5244230344240301
612205244101540
71212613140432
oct207440057404
951860843216
1018194915076
117797611aa8
1236395348b0
13193c727250
14c48687d52
1571755ae36
hex43c805f04

18194915076 has 96 divisors (see below), whose sum is σ = 46662268800. Its totient is φ = 5484174336.

The previous prime is 18194915041. The next prime is 18194915107. The reversal of 18194915076 is 67051949181.

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 31 ways as a sum of consecutive naturals, for example, 1691451 + ... + 1702173.

It is an arithmetic number, because the mean of its divisors is an integer number (486065300).

Almost surely, 218194915076 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 18194915076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23331134400).

18194915076 is an abundant number, since it is smaller than the sum of its proper divisors (28467353724).

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

18194915076 is a wasteful number, since it uses less digits than its factorization.

18194915076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10965 (or 10963 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 51.

The spelling of 18194915076 in words is "eighteen billion, one hundred ninety-four million, nine hundred fifteen thousand, seventy-six".

Divisors: 1 2 3 4 6 12 13 26 39 52 73 78 146 149 156 219 292 298 438 447 596 876 894 949 1788 1898 1937 2847 3796 3874 5694 5811 7748 10723 10877 11388 11622 21446 21754 23244 32169 32631 42892 43508 64338 65262 128676 130524 139399 141401 278798 282802 418197 424203 557596 565604 782779 836394 848406 1565558 1597727 1672788 1696812 2348337 3131116 3195454 4696674 4793181 6390908 9393348 9586362 10176127 19172724 20352254 20770451 30528381 40704508 41540902 61056762 62311353 83081804 116634071 122113524 124622706 233268142 249245412 349902213 466536284 699804426 1399608852 1516242923 3032485846 4548728769 6064971692 9097457538 18194915076