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82714042584 = 23321339785751
BaseRepresentation
bin100110100001000100…
…1000010000011011000
321220111111001201111200
41031002021002003120
52323344243330314
6101555344554200
75655505522125
oct1150211020330
9256444051450
1082714042584
1132095a14488
1214044922960
137a524c7184
1440093c574c
1522418c9709
hex13422420d8

82714042584 has 48 divisors (see below), whose sum is σ = 224036532720. Its totient is φ = 27568968000.

The previous prime is 82714042573. The next prime is 82714042639. The reversal of 82714042584 is 48524041728.

82714042584 is a `hidden beast` number, since 8 + 2 + 7 + 140 + 425 + 84 = 666.

It is a super-2 number, since 2×827140425842 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 921709 + ... + 1007459.

It is an arithmetic number, because the mean of its divisors is an integer number (4667427765).

Almost surely, 282714042584 is an apocalyptic number.

It is an amenable number.

82714042584 is an abundant number, since it is smaller than the sum of its proper divisors (141322490136).

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

82714042584 is a wasteful number, since it uses less digits than its factorization.

82714042584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99160 (or 99153 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 45.

The spelling of 82714042584 in words is "eighty-two billion, seven hundred fourteen million, forty-two thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 13397 26794 40191 53588 80382 85751 107176 120573 160764 171502 241146 257253 321528 343004 482292 514506 686008 771759 964584 1029012 1543518 2058024 3087036 6174072 1148806147 2297612294 3446418441 4595224588 6892836882 9190449176 10339255323 13785673764 20678510646 27571347528 41357021292 82714042584