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145565102565 = 3357977317657
BaseRepresentation
bin1000011110010001011…
…0110011000111100101
3111220201200102101022000
42013210112303013211
54341104131240230
6150512141155513
713342144646061
oct2074426630745
9456650371260
10145565102565
1156808784063
122426555bb99
131095a81b2ac
14708c790aa1
153bbe5a0b60
hex21e45b31e5

145565102565 has 64 divisors (see below), whose sum is σ = 262412006400. Its totient is φ = 76548506112.

The previous prime is 145565102563. The next prime is 145565102587. The reversal of 145565102565 is 565201565541.

It is a happy number.

145565102565 is a `hidden beast` number, since 1 + 4 + 5 + 56 + 510 + 25 + 65 = 666.

145565102565 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 145565102565 - 21 = 145565102563 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 145565102565.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145565102561) 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 63 ways as a sum of consecutive naturals, for example, 8235217 + ... + 8252873.

It is an arithmetic number, because the mean of its divisors is an integer number (4100187600).

Almost surely, 2145565102565 is an apocalyptic number.

145565102565 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

145565102565 is a deficient number, since it is larger than the sum of its proper divisors (116846903835).

145565102565 is a wasteful number, since it uses less digits than its factorization.

145565102565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18523 (or 18517 counting only the distinct ones).

The product of its (nonzero) digits is 900000, while the sum is 45.

The spelling of 145565102565 in words is "one hundred forty-five billion, five hundred sixty-five million, one hundred two thousand, five hundred sixty-five".

Divisors: 1 3 5 9 15 27 45 79 135 237 395 711 773 1185 2133 2319 3555 3865 6957 10665 11595 17657 20871 34785 52971 61067 88285 104355 158913 183201 264855 305335 476739 549603 794565 916005 1394903 1648809 2383695 2748015 4184709 6974515 8244045 12554127 13648861 20923545 37662381 40946583 62770635 68244305 122839749 188311905 204732915 368519247 614198745 1078260019 1842596235 3234780057 5391300095 9704340171 16173900285 29113020513 48521700855 145565102565