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158961664 = 2121972
BaseRepresentation
bin10010111100110…
…01000000000000
3102002010002102001
421132121000000
5311143233124
623435033344
73640103041
oct1136310000
9362102361
10158961664
1181803284
124529b854
1326c18c74
141717c8c8
15de4eb44
hex9799000

158961664 has 39 divisors (see below), whose sum is σ = 319506337. Its totient is φ = 79077376.

The previous prime is 158961659. The next prime is 158961701. The reversal of 158961664 is 466169851.

The square root of 158961664 is 12608.

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., 155750400 + 3211264 = 12480^2 + 1792^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 806814 + ... + 807010.

Almost surely, 2158961664 is an apocalyptic number.

158961664 is the 12608-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 158961664

158961664 is an abundant number, since it is smaller than the sum of its proper divisors (160544673).

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

158961664 is an frugal number, since it uses more digits than its factorization.

158961664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 199 counting only the distinct ones).

The product of its digits is 311040, while the sum is 46.

The cubic root of 158961664 is about 541.7066080948.

The spelling of 158961664 in words is "one hundred fifty-eight million, nine hundred sixty-one thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 128 197 256 394 512 788 1024 1576 2048 3152 4096 6304 12608 25216 38809 50432 77618 100864 155236 201728 310472 403456 620944 806912 1241888 2483776 4967552 9935104 19870208 39740416 79480832 158961664