Search a number
-
+
40679886096 = 24341132291213
BaseRepresentation
bin100101111000101101…
…011100110100010000
310220000001101022220000
4211320231130310100
51131303022323341
630404343050000
72640041220003
oct457055346420
9126001338800
1040679886096
111628580a583
127a73740900
133ab3b9b725
141d7c9cb53a
1510d15348b6
hex978b5cd10

40679886096 has 200 divisors, whose sum is σ = 119398381080. Its totient is φ = 13370241024.

The previous prime is 40679886073. The next prime is 40679886131. The reversal of 40679886096 is 69068897604.

40679886096 is a `hidden beast` number, since 406 + 7 + 9 + 88 + 60 + 96 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 51840000 + 40628046096 = 7200^2 + 201564^2 .

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 39 ways as a sum of consecutive naturals, for example, 33535986 + ... + 33537198.

Almost surely, 240679886096 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 40679886096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59699190540).

40679886096 is an abundant number, since it is smaller than the sum of its proper divisors (78718494984).

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

40679886096 is a wasteful number, since it uses less digits than its factorization.

40679886096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1575 (or 1560 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 40679886096 in words is "forty billion, six hundred seventy-nine million, eight hundred eighty-six thousand, ninety-six".