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158133312 = 2632281977
BaseRepresentation
bin10010110110011…
…10110001000000
3102000120000010100
421123032301000
5310440231222
623405202400
73630053031
oct1133166100
9360500110
10158133312
1181297997
1244b60400
13269b8c0c
1417004a88
15dd394ac
hex96cec40

158133312 has 84 divisors (see below), whose sum is σ = 455339196. Its totient is φ = 52469760.

The previous prime is 158133307. The next prime is 158133323. The reversal of 158133312 is 213331851.

It can be written as a sum of positive squares in 2 ways, for example, as 130507776 + 27625536 = 11424^2 + 5256^2 .

It is a super-2 number, since 2×1581333122 = 50012288728178688, which contains 22 as substring.

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, 161368 + ... + 162344.

Almost surely, 2158133312 is an apocalyptic number.

158133312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 158133312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227669598).

158133312 is an abundant number, since it is smaller than the sum of its proper divisors (297205884).

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

158133312 is a wasteful number, since it uses less digits than its factorization.

158133312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1276 (or 1263 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 158133312 is about 12575.1068385123. The cubic root of 158133312 is about 540.7640213918.

The spelling of 158133312 in words is "one hundred fifty-eight million, one hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 281 288 562 576 843 977 1124 1686 1954 2248 2529 2931 3372 3908 4496 5058 5862 6744 7816 8793 8992 10116 11724 13488 15632 17586 17984 20232 23448 26976 31264 35172 40464 46896 53952 62528 70344 80928 93792 140688 161856 187584 274537 281376 549074 562752 823611 1098148 1647222 2196296 2470833 3294444 4392592 4941666 6588888 8785184 9883332 13177776 17570368 19766664 26355552 39533328 52711104 79066656 158133312