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256052150145 = 3251117191601477
BaseRepresentation
bin1110111001110111100…
…1011011111110000001
3220110220201021221100100
43232131321123332001
513143343322301040
6313343450113013
724333132236241
oct3563571337601
9813821257310
10256052150145
1199655844230
124175b41b769
131b1b7bb691c
14c570517b21
1569d9303b30
hex3b9de5bf81

256052150145 has 96 divisors (see below), whose sum is σ = 539634026880. Its totient is φ = 110694021120.

The previous prime is 256052150131. The next prime is 256052150147. The reversal of 256052150145 is 541051250652.

256052150145 is a `hidden beast` number, since 2 + 5 + 60 + 52 + 1 + 501 + 45 = 666.

It is not a de Polignac number, because 256052150145 - 28 = 256052149889 is a prime.

It is not an unprimeable number, because it can be changed into a prime (256052150147) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 640854 + ... + 960623.

It is an arithmetic number, because the mean of its divisors is an integer number (5621187780).

Almost surely, 2256052150145 is an apocalyptic number.

It is an amenable number.

256052150145 is an abundant number, since it is smaller than the sum of its proper divisors (283581876735).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

256052150145 is a wasteful number, since it uses less digits than its factorization.

256052150145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1601535 (or 1601532 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

The spelling of 256052150145 in words is "two hundred fifty-six billion, fifty-two million, one hundred fifty thousand, one hundred forty-five".

Divisors: 1 3 5 9 11 15 17 19 33 45 51 55 57 85 95 99 153 165 171 187 209 255 285 323 495 561 627 765 855 935 969 1045 1615 1683 1881 2805 2907 3135 3553 4845 8415 9405 10659 14535 17765 31977 53295 159885 1601477 4804431 8007385 14413293 17616247 24022155 27225109 30428063 52848741 72066465 81675327 88081235 91284189 136125545 152140315 158546223 245025981 264243705 273852567 299476199 334708693 408376635 456420945 517277071 792731115 898428597 1004126079 1225129905 1369262835 1497380995 1551831213 1673543465 2586385355 2695285791 3012378237 4492142985 4655493639 5020630395 5690047781 7759156065 13476428955 15061891185 17070143343 23277468195 28450238905 51210430029 85350716715 256052150145