Search a number
-
+
150157895661 = 37591163717
BaseRepresentation
bin1000101111011000011…
…0111010011111101101
3112100120202120110000000
42023312012322133231
54430010410130121
6152552004454513
713564024024314
oct2136606723755
9470522513000
10150157895661
1158755243534
12251276aa439
13112101b4147
1473a673327b
153d8c8bd526
hex22f61ba7ed

150157895661 has 32 divisors (see below), whose sum is σ = 229019702400. Its totient is φ = 98408479824.

The previous prime is 150157895653. The next prime is 150157895683. The reversal of 150157895661 is 166598751051.

150157895661 is a `hidden beast` number, since 1 + 5 + 0 + 1 + 5 + 78 + 9 + 566 + 1 = 666.

It is not a de Polignac number, because 150157895661 - 23 = 150157895653 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 150157895598 and 150157895607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150157895651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 452826 + ... + 710891.

It is an arithmetic number, because the mean of its divisors is an integer number (7156865700).

Almost surely, 2150157895661 is an apocalyptic number.

It is an amenable number.

150157895661 is a deficient number, since it is larger than the sum of its proper divisors (78861806739).

150157895661 is an frugal number, since it uses more digits than its factorization.

150157895661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1163797 (or 1163779 counting only the distinct ones).

The product of its (nonzero) digits is 2268000, while the sum is 54.

The spelling of 150157895661 in words is "one hundred fifty billion, one hundred fifty-seven million, eight hundred ninety-five thousand, six hundred sixty-one".

Divisors: 1 3 9 27 59 81 177 243 531 729 1593 2187 4779 14337 43011 129033 1163717 3491151 10473453 31420359 68659303 94261077 205977909 282783231 617933727 848349693 1853801181 2545049079 5561403543 16684210629 50052631887 150157895661