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157668329 = 7213416037
BaseRepresentation
bin10010110010111…
…01001111101001
3101222200101021202
421121131033221
5310330341304
623351213545
73623105300
oct1131351751
9358611252
10157668329
1180aaa605
12449772b5
1326885390
1416d23437
15dc9681e
hex965d3e9

157668329 has 24 divisors (see below), whose sum is σ = 202369608. Its totient is φ = 121685760.

The previous prime is 157668307. The next prime is 157668337. The reversal of 157668329 is 923866751.

It can be written as a sum of positive squares in 4 ways, for example, as 9486400 + 148181929 = 3080^2 + 12173^2 .

It is a de Polignac number, because none of the positive numbers 2k-157668329 is a prime.

It is not an unprimeable number, because it can be changed into a prime (157668629) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23099 + ... + 29135.

It is an arithmetic number, because the mean of its divisors is an integer number (8432067).

Almost surely, 2157668329 is an apocalyptic number.

It is an amenable number.

157668329 is a deficient number, since it is larger than the sum of its proper divisors (44701279).

157668329 is a wasteful number, since it uses less digits than its factorization.

157668329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6105 (or 6098 counting only the distinct ones).

The product of its digits is 544320, while the sum is 47.

The square root of 157668329 is about 12556.6049949817. The cubic root of 157668329 is about 540.2334712882.

The spelling of 157668329 in words is "one hundred fifty-seven million, six hundred sixty-eight thousand, three hundred twenty-nine".

Divisors: 1 7 13 41 49 91 287 533 637 2009 3731 6037 26117 42259 78481 247517 295813 549367 1732619 3217721 3845569 12128333 22524047 157668329