Search a number
-
+
18456852736 = 287212132
BaseRepresentation
bin10001001100000111…
…010011100100000000
31202122021211021011101
4101030013103210000
5300244423241421
612251242224144
71222243442200
oct211407234400
952567737141
1018456852736
117911459703
1236b11b5054
131981a8944a
14c71390400
1573054c191
hex44c1d3900

18456852736 has 81 divisors (see below), whose sum is σ = 42891925041. Its totient is φ = 7903558656.

The previous prime is 18456852703. The next prime is 18456852749. The reversal of 18456852736 is 63725865481.

It is a happy number.

The square root of 18456852736 is 135856.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 752953600 + 17703899136 = 27440^2 + 133056^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 15215266 + ... + 15216478.

Almost surely, 218456852736 is an apocalyptic number.

18456852736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

18456852736 is the 135856-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18456852736

18456852736 is an abundant number, since it is smaller than the sum of its proper divisors (24435072305).

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

18456852736 is an frugal number, since it uses more digits than its factorization.

18456852736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2456 (or 1222 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 55.

The spelling of 18456852736 in words is "eighteen billion, four hundred fifty-six million, eight hundred fifty-two thousand, seven hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 784 896 1213 1568 1792 2426 3136 4852 6272 8491 9704 12544 16982 19408 33964 38816 59437 67928 77632 118874 135856 155264 237748 271712 310528 475496 543424 950992 1086848 1471369 1901984 2173696 2942738 3803968 5885476 7607936 10299583 11770952 15215872 20599166 23541904 41198332 47083808 72097081 82396664 94167616 144194162 164793328 188335232 288388324 329586656 376670464 576776648 659173312 1153553296 1318346624 2307106592 2636693248 4614213184 9228426368 18456852736