Search a number
-
+
158131322208 = 2532737521467
BaseRepresentation
bin1001001101000101011…
…1000111110101100000
3120010011102222110222100
42103101113013311200
510042323104302313
6200351115010400
714265433026666
oct2232127076540
9503142873870
10158131322208
1161077010952
1226791a39a00
1311bb1081b12
147921680c36
1541a78ba173
hex24d15c7d60

158131322208 has 72 divisors (see below), whose sum is σ = 455846089608. Its totient is φ = 51988372992.

The previous prime is 158131322117. The next prime is 158131322213. The reversal of 158131322208 is 802223131851.

158131322208 is a `hidden beast` number, since 1 + 581 + 31 + 3 + 22 + 20 + 8 = 666.

158131322208 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3739710 + ... + 3781757.

It is an arithmetic number, because the mean of its divisors is an integer number (6331195689).

Almost surely, 2158131322208 is an apocalyptic number.

158131322208 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

158131322208 is an abundant number, since it is smaller than the sum of its proper divisors (297714767400).

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

158131322208 is a wasteful number, since it uses less digits than its factorization.

158131322208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7521556 (or 7521545 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 158131322208 in words is "one hundred fifty-eight billion, one hundred thirty-one million, three hundred twenty-two thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 73 96 144 146 219 288 292 438 584 657 876 1168 1314 1752 2336 2628 3504 5256 7008 10512 21024 7521467 15042934 22564401 30085868 45128802 60171736 67693203 90257604 120343472 135386406 180515208 240686944 270772812 361030416 541545624 549067091 722060832 1083091248 1098134182 1647201273 2166182496 2196268364 3294402546 4392536728 4941603819 6588805092 8785073456 9883207638 13177610184 17570146912 19766415276 26355220368 39532830552 52710440736 79065661104 158131322208