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157345695 = 32513277971
BaseRepresentation
bin10010110000011…
…10011110011111
3101222001222201100
421120032132133
5310240030240
623340244143
73620262543
oct1130163637
9358058640
10157345695
11808aa171
1244840653
13267a1580
1416c7ba23
15dc30e30
hex960e79f

157345695 has 48 divisors (see below), whose sum is σ = 295075872. Its totient is φ = 77103360.

The previous prime is 157345687. The next prime is 157345703. The reversal of 157345695 is 596543751.

157345695 = T10 + T11 + ... + T980.

157345695 is a `hidden beast` number, since 1 + 57 + 34 + 569 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (157345687) and next prime (157345703).

It is not a de Polignac number, because 157345695 - 23 = 157345687 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 157345695.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 161560 + ... + 162530.

It is an arithmetic number, because the mean of its divisors is an integer number (6147414).

Almost surely, 2157345695 is an apocalyptic number.

157345695 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

157345695 is a deficient number, since it is larger than the sum of its proper divisors (137730177).

157345695 is a wasteful number, since it uses less digits than its factorization.

157345695 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1272 (or 1269 counting only the distinct ones).

The product of its digits is 567000, while the sum is 45.

The square root of 157345695 is about 12543.7512331838. The cubic root of 157345695 is about 539.8647294919.

The spelling of 157345695 in words is "one hundred fifty-seven million, three hundred forty-five thousand, six hundred ninety-five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 277 585 831 971 1385 2493 2913 3601 4155 4855 8739 10803 12465 12623 14565 18005 32409 37869 43695 54015 63115 113607 162045 189345 268967 568035 806901 1344835 2420703 3496571 4034505 10489713 12103515 17482855 31469139 52448565 157345695