Search a number
-
+
10449006156 = 223447876737
BaseRepresentation
bin10011011101100111…
…10010111001001100
3222222012122111210000
421232303302321030
5132344421144111
64444502244300
7516636041541
oct115663627114
928865574700
1010449006156
114482211a86
122037426690
13ca6a299a4
14711a42bc8
15412501c56
hex26ecf2e4c

10449006156 has 60 divisors (see below), whose sum is σ = 27325527768. Its totient is φ = 3481757568.

The previous prime is 10449006143. The next prime is 10449006173. The reversal of 10449006156 is 65160094401.

10449006156 is a `hidden beast` number, since 10 + 4 + 490 + 0 + 6 + 156 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10449006156.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1547620 + ... + 1554356.

Almost surely, 210449006156 is an apocalyptic number.

It is an amenable number.

10449006156 is an abundant number, since it is smaller than the sum of its proper divisors (16876521612).

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

10449006156 is a wasteful number, since it uses less digits than its factorization.

10449006156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11540 (or 11529 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 10449006156 in words is "ten billion, four hundred forty-nine million, six thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 4787 6737 9574 13474 14361 19148 20211 26948 28722 40422 43083 57444 60633 80844 86166 121266 129249 172332 181899 242532 258498 363798 387747 516996 545697 727596 775494 1091394 1550988 2182788 32250019 64500038 96750057 129000076 193500114 290250171 387000228 580500342 870750513 1161000684 1741501026 2612251539 3483002052 5224503078 10449006156