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17252518068 = 22321728190389
BaseRepresentation
bin10000000100010101…
…001000100010110100
31122112100122201120200
4100010111020202310
5240313121034233
611531541200500
71150350661332
oct200425104264
948470581520
1017252518068
1173536621a5
123415a00130
13181c407c96
14b99452b52
156ae957313
hex4045488b4

17252518068 has 36 divisors (see below), whose sum is σ = 46175858820. Its totient is φ = 5412554496.

The previous prime is 17252518061. The next prime is 17252518069. The reversal of 17252518068 is 86081525271.

17252518068 is a `hidden beast` number, since 1 + 72 + 5 + 2 + 518 + 0 + 68 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6524115984 + 10728402084 = 80772^2 + 103578^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17252518061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14094583 + ... + 14095806.

It is an arithmetic number, because the mean of its divisors is an integer number (1282662745).

Almost surely, 217252518068 is an apocalyptic number.

17252518068 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

17252518068 is an abundant number, since it is smaller than the sum of its proper divisors (28923340752).

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

17252518068 is a wasteful number, since it uses less digits than its factorization.

17252518068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28190416 (or 28190411 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The spelling of 17252518068 in words is "seventeen billion, two hundred fifty-two million, five hundred eighteen thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 28190389 56380778 84571167 112761556 169142334 253713501 338284668 479236613 507427002 958473226 1014854004 1437709839 1916946452 2875419678 4313129517 5750839356 8626259034 17252518068