Search a number
-
+
38117876644 = 22312472672
BaseRepresentation
bin100011100000000000…
…001010001110100100
310122101111111202122001
4203200000022032210
51111031134023034
625302222215044
72516411414461
oct434000121644
9118344452561
1038117876644
11151906029a1
127479724484
13379616a7c3
141bb8638668
15ed165aa14
hex8e000a3a4

38117876644 has 81 divisors (see below), whose sum is σ = 71492070699. Its totient is φ = 17782277040.

The previous prime is 38117876639. The next prime is 38117876653. The reversal of 38117876644 is 44667871183.

The square root of 38117876644 is 195238.

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

Its product of digits (5419008) is a multiple of the sum of its prime divisors (147).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 568923499 + ... + 568923565.

Almost surely, 238117876644 is an apocalyptic number.

38117876644 is the 195238-th square number.

It is an amenable number.

38117876644 is a deficient number, since it is larger than the sum of its proper divisors (33374194055).

38117876644 is an equidigital number, since it uses as much as digits as its factorization.

38117876644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 147 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 55.

The spelling of 38117876644 in words is "thirty-eight billion, one hundred seventeen million, eight hundred seventy-six thousand, six hundred forty-four".

Divisors: 1 2 4 31 47 62 67 94 124 134 188 268 961 1457 1922 2077 2209 2914 3149 3844 4154 4418 4489 5828 6298 8308 8836 8978 12596 17956 45167 64387 68479 90334 97619 128774 136958 139159 148003 180668 195238 210983 257548 273916 278318 296006 390476 421966 556636 592012 843932 2122849 3026189 4245698 4313929 4588093 6052378 6540473 8491396 8627858 9176186 9916201 12104756 13080946 17255716 18352372 19832402 26161892 39664804 142230883 202754663 284461766 307402231 405509326 568923532 614804462 811018652 1229608924 9529469161 19058938322 38117876644