Search a number
-
+
157227205077 = 3237757623717
BaseRepresentation
bin1001001001101101111…
…0001100000111010101
3120000211102201120102200
42102123132030013111
510034000131030302
6200121300355113
714234144122665
oct2223336140725
9500742646380
10157227205077
1160752727308
122657b0a5a99
1311a98976477
1478775721a5
15415332881c
hex249b78c1d5

157227205077 has 24 divisors (see below), whose sum is σ = 233552452536. Its totient is φ = 101850327936.

The previous prime is 157227205049. The next prime is 157227205147. The reversal of 157227205077 is 770502722751.

157227205077 is a `hidden beast` number, since 1 + 5 + 72 + 2 + 72 + 0 + 507 + 7 = 666.

157227205077 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 44609241681 + 112617963396 = 211209^2 + 335586^2 .

It is not a de Polignac number, because 157227205077 - 214 = 157227188693 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157227205027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59778 + ... + 563939.

It is an arithmetic number, because the mean of its divisors is an integer number (9731352189).

Almost surely, 2157227205077 is an apocalyptic number.

It is an amenable number.

157227205077 is a deficient number, since it is larger than the sum of its proper divisors (76325247459).

157227205077 is a wasteful number, since it uses less digits than its factorization.

157227205077 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624517 (or 624514 counting only the distinct ones).

The product of its (nonzero) digits is 480200, while the sum is 45.

The spelling of 157227205077 in words is "one hundred fifty-seven billion, two hundred twenty-seven million, two hundred five thousand, seventy-seven".

Divisors: 1 3 9 37 111 333 757 2271 6813 28009 84027 252081 623717 1871151 5613453 23077529 69232587 207697761 472153769 1416461307 4249383921 17469689453 52409068359 157227205077