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157383693 = 3273421569
BaseRepresentation
bin10010110000101…
…11110000001101
3101222010220211200
421120113300031
5310242234233
623341140113
73620511405
oct1130276015
9358126750
10157383693
1180925775
124485a639
13267b595c
1416c8b805
15dc3c313
hex9617c0d

157383693 has 24 divisors (see below), whose sum is σ = 231399480. Its totient is φ = 103057920.

The previous prime is 157383689. The next prime is 157383703. The reversal of 157383693 is 396383751.

It can be written as a sum of positive squares in 4 ways, for example, as 2082249 + 155301444 = 1443^2 + 12462^2 .

It is not a de Polignac number, because 157383693 - 22 = 157383689 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157383623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 276313 + ... + 276881.

It is an arithmetic number, because the mean of its divisors is an integer number (9641645).

Almost surely, 2157383693 is an apocalyptic number.

It is an amenable number.

157383693 is a deficient number, since it is larger than the sum of its proper divisors (74015787).

157383693 is a wasteful number, since it uses less digits than its factorization.

157383693 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1069 (or 1066 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The square root of 157383693 is about 12545.2657604373. The cubic root of 157383693 is about 539.9081839779.

The spelling of 157383693 in words is "one hundred fifty-seven million, three hundred eighty-three thousand, six hundred ninety-three".

Divisors: 1 3 9 73 219 421 569 657 1263 1707 3789 5121 30733 41537 92199 124611 239549 276597 373833 718647 2155941 17487077 52461231 157383693