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518713688340 = 223256014794913
BaseRepresentation
bin1111000110001011011…
…11101100000100010100
31211120220001022120121200
413203011233230010110
531444311201011330
61034143242312500
752322131413441
oct7430557540424
91746801276550
10518713688340
1118aa92399531
12846441b8730
1339bb71a1043
141b16a74c9c8
15d75d9b4a60
hex78c5bec114

518713688340 has 72 divisors (see below), whose sum is σ = 1576049872488. Its totient is φ = 138093465600.

The previous prime is 518713688327. The next prime is 518713688347. The reversal of 518713688340 is 43886317815.

It is a happy number.

518713688340 is a `hidden beast` number, since 518 + 7 + 1 + 3 + 6 + 8 + 83 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 298942123536 + 219771564804 = 546756^2 + 468798^2 .

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (518713688347) 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 23 ways as a sum of consecutive naturals, for example, 2289277 + ... + 2505636.

Almost surely, 2518713688340 is an apocalyptic number.

It is an amenable number.

518713688340 is an abundant number, since it is smaller than the sum of its proper divisors (1057336184148).

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

518713688340 is a wasteful number, since it uses less digits than its factorization.

518713688340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4795529 (or 4795524 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 518713688340 in words is "five hundred eighteen billion, seven hundred thirteen million, six hundred eighty-eight thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 601 1202 1803 2404 3005 3606 5409 6010 7212 9015 10818 12020 18030 21636 27045 36060 54090 108180 4794913 9589826 14384739 19179652 23974565 28769478 43154217 47949130 57538956 71923695 86308434 95898260 143847390 172616868 215771085 287694780 431542170 863084340 2881742713 5763485426 8645228139 11526970852 14408713565 17290456278 25935684417 28817427130 34580912556 43226140695 51871368834 57634854260 86452281390 103742737668 129678422085 172904562780 259356844170 518713688340