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145317639618 = 23219247292
BaseRepresentation
bin1000011101010110011…
…0110011010111000010
3111220002102202221221200
42013111212303113002
54340102303431433
6150431421202030
713333051361544
oct2072546632702
9456072687850
10145317639618
11566a1023528
12241b6700316
131091b486608
147067975694
153ba79bd613
hex21d59b35c2

145317639618 has 54 divisors (see below), whose sum is σ = 332368652889. Its totient is φ = 45880077024.

The previous prime is 145317639587. The next prime is 145317639653. The reversal of 145317639618 is 816936713541.

145317639618 is a `hidden beast` number, since 1 + 4 + 5 + 3 + 17 + 6 + 3 + 9 + 618 = 666.

145317639618 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 2 ways, for example, as 93307644369 + 52009995249 = 305463^2 + 228057^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=269553.

It is a super-2 number, since 2×1453176396182 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 30726678 + ... + 30731406.

Almost surely, 2145317639618 is an apocalyptic number.

145317639618 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 145317639618

145317639618 is an abundant number, since it is smaller than the sum of its proper divisors (187051013271).

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

145317639618 is an frugal number, since it uses more digits than its factorization.

145317639618 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9504 (or 4753 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The spelling of 145317639618 in words is "one hundred forty-five billion, three hundred seventeen million, six hundred thirty-nine thousand, six hundred eighteen".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 361 722 1083 2166 3249 4729 6498 9458 14187 28374 42561 85122 89851 179702 269553 539106 808659 1617318 1707169 3414338 5121507 10243014 15364521 22363441 30729042 44726882 67090323 134180646 201270969 402541938 424905379 849810758 1274716137 2549432274 3824148411 7648296822 8073202201 16146404402 24219606603 48439213206 72658819809 145317639618