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158513664 = 293313329
BaseRepresentation
bin10010111001010…
…11101000000000
3102001021022212110
421130223220000
5311034414124
623421255320
73633225651
oct1134535000
9361238773
10158513664
1181527731
1245104540
1326ac008a
14170a3528
15ddb2029
hex972ba00

158513664 has 80 divisors (see below), whose sum is σ = 436043520. Its totient is φ = 51118080.

The previous prime is 158513659. The next prime is 158513683. The reversal of 158513664 is 466315851.

158513664 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 7 ways as a sum of consecutive naturals, for example, 45952 + ... + 49280.

It is an arithmetic number, because the mean of its divisors is an integer number (5450544).

Almost surely, 2158513664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 158513664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218021760).

158513664 is an abundant number, since it is smaller than the sum of its proper divisors (277529856).

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

158513664 is an equidigital number, since it uses as much as digits as its factorization.

158513664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3381 (or 3365 counting only the distinct ones).

The product of its digits is 86400, while the sum is 39.

The square root of 158513664 is about 12590.2209670839. The cubic root of 158513664 is about 541.1972339118.

The spelling of 158513664 in words is "one hundred fifty-eight million, five hundred thirteen thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 496 512 744 768 992 1488 1536 1984 2976 3329 3968 5952 6658 7936 9987 11904 13316 15872 19974 23808 26632 39948 47616 53264 79896 103199 106528 159792 206398 213056 309597 319584 412796 426112 619194 639168 825592 852224 1238388 1278336 1651184 1704448 2476776 2556672 3302368 4953552 5113344 6604736 9907104 13209472 19814208 26418944 39628416 52837888 79256832 158513664