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157150565 = 51121322953
BaseRepresentation
bin10010101110111…
…10110101100101
3101221201002001022
421113132311211
5310212304230
623332140525
73615520625
oct1127366545
9357632038
10157150565
1180786600
1244767745
1326733800
1416c2a885
15dbe31e5
hex95ded65

157150565 has 72 divisors (see below), whose sum is σ = 236575080. Its totient is φ = 99939840.

The previous prime is 157150561. The next prime is 157150583. The reversal of 157150565 is 565051751.

It can be written as a sum of positive squares in 12 ways, for example, as 69522244 + 87628321 = 8338^2 + 9361^2 .

It is not a de Polignac number, because 157150565 - 22 = 157150561 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157150561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2965079 + ... + 2965131.

It is an arithmetic number, because the mean of its divisors is an integer number (3285765).

Almost surely, 2157150565 is an apocalyptic number.

It is an amenable number.

157150565 is a deficient number, since it is larger than the sum of its proper divisors (79424515).

157150565 is a wasteful number, since it uses less digits than its factorization.

157150565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 26250, while the sum is 35.

The square root of 157150565 is about 12535.9708439355. The cubic root of 157150565 is about 539.6414686827.

The spelling of 157150565 in words is "one hundred fifty-seven million, one hundred fifty thousand, five hundred sixty-five".

Divisors: 1 5 11 13 29 53 55 65 121 143 145 169 265 319 377 583 605 689 715 845 1537 1573 1595 1859 1885 2915 3445 3509 4147 4901 6413 7579 7685 7865 8957 9295 16907 17545 19981 20449 20735 24505 32065 37895 44785 45617 53911 83369 84535 98527 99905 102245 185977 219791 228085 259753 269555 416845 492635 593021 929885 1083797 1098955 1298765 2417701 2857283 2965105 5418985 12088505 14286415 31430113 157150565