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518679327140 = 225137972503037
BaseRepresentation
bin1111000110000111011…
…00100111000110100100
31211120210122122211220122
413203003230213012210
531444223401432030
61034140014021112
752321233352142
oct7430354470644
91746718584818
10518679327140
1118aa74a5a447
12846347a7798
1339bb002cc80
141b165d66592
15d75a9788e5
hex78c3b271a4

518679327140 has 48 divisors (see below), whose sum is σ = 1174485502512. Its totient is φ = 191271998976.

The previous prime is 518679327121. The next prime is 518679327143. The reversal of 518679327140 is 41723976815.

It can be written as a sum of positive squares in 8 ways, for example, as 21834790756 + 496844536384 = 147766^2 + 704872^2 .

It is not an unprimeable number, because it can be changed into a prime (518679327143) 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 15 ways as a sum of consecutive naturals, for example, 1044299 + ... + 1458738.

It is an arithmetic number, because the mean of its divisors is an integer number (24468447969).

It is a 1-persistent number, because it is pandigital, but 2⋅518679327140 = 1037358654280 is not.

Almost surely, 2518679327140 is an apocalyptic number.

It is an amenable number.

518679327140 is an abundant number, since it is smaller than the sum of its proper divisors (655806175372).

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

518679327140 is a wasteful number, since it uses less digits than its factorization.

518679327140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2503856 (or 2503854 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 53.

The spelling of 518679327140 in words is "five hundred eighteen billion, six hundred seventy-nine million, three hundred twenty-seven thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 797 1594 3188 3985 7970 10361 15940 20722 41444 51805 103610 207220 2503037 5006074 10012148 12515185 25030370 32539481 50060740 65078962 130157924 162697405 325394810 650789620 1994920489 3989840978 7979681956 9974602445 19949204890 25933966357 39898409780 51867932714 103735865428 129669831785 259339663570 518679327140