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157663144665 = 32513733691913
BaseRepresentation
bin1001001011010101110…
…1001010101011011001
3120001221211000121010100
42102311131022223121
510040343231112130
6200232432210013
714251016421615
oct2226535125331
9501854017110
10157663144665
116095680a164
1226681099909
1311b3808c3a0
1478b9410345
15417b73ac60
hex24b574aad9

157663144665 has 48 divisors (see below), whose sum is σ = 298336186512. Its totient is φ = 76555487232.

The previous prime is 157663144547. The next prime is 157663144687. The reversal of 157663144665 is 566441366751.

157663144665 is a `hidden beast` number, since 1 + 57 + 66 + 31 + 446 + 65 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 37417872969 + 120245271696 = 193437^2 + 346764^2 .

It is not a de Polignac number, because 157663144665 - 211 = 157663142617 is a prime.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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, 1803252 + ... + 1888661.

It is an arithmetic number, because the mean of its divisors is an integer number (6215337219).

Almost surely, 2157663144665 is an apocalyptic number.

157663144665 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

157663144665 is a deficient number, since it is larger than the sum of its proper divisors (140673041847).

157663144665 is a wasteful number, since it uses less digits than its factorization.

157663144665 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3692010 (or 3692007 counting only the distinct ones).

The product of its digits is 10886400, while the sum is 54.

The spelling of 157663144665 in words is "one hundred fifty-seven billion, six hundred sixty-three million, one hundred forty-four thousand, six hundred sixty-five".

Divisors: 1 3 5 9 13 15 39 45 65 73 117 195 219 365 585 657 949 1095 2847 3285 4745 8541 14235 42705 3691913 11075739 18459565 33227217 47994869 55378695 143984607 166136085 239974345 269509649 431953821 719923035 808528947 1347548245 2159769105 2425586841 3503625437 4042644735 10510876311 12127934205 17518127185 31532628933 52554381555 157663144665