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82139510040 = 2335797785131
BaseRepresentation
bin100110001111111100…
…1010111010100011000
321212000102222110000120
41030133321113110120
52321210203310130
6101422342433240
75635331213130
oct1143771272430
9255012873016
1082139510040
11319206806a5
1213b04432820
1379904774a3
143d92d8bac0
15220b23c910
hex131fe57518

82139510040 has 64 divisors (see below), whose sum is σ = 281621180160. Its totient is φ = 18774744960.

The previous prime is 82139510039. The next prime is 82139510051. The reversal of 82139510040 is 4001593128.

It is a super-2 number, since 2×821395100402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 82139509983 and 82139510010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48891726 + ... + 48893405.

It is an arithmetic number, because the mean of its divisors is an integer number (4400330940).

Almost surely, 282139510040 is an apocalyptic number.

It is an amenable number.

82139510040 is an abundant number, since it is smaller than the sum of its proper divisors (199481670120).

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

82139510040 is a wasteful number, since it uses less digits than its factorization.

82139510040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97785152 (or 97785148 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The spelling of 82139510040 in words is "eighty-two billion, one hundred thirty-nine million, five hundred ten thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 97785131 195570262 293355393 391140524 488925655 586710786 684495917 782281048 977851310 1173421572 1368991834 1466776965 1955702620 2053487751 2346843144 2737983668 2933553930 3422479585 3911405240 4106975502 5475967336 5867107860 6844959170 8213951004 10267438755 11734215720 13689918340 16427902008 20534877510 27379836680 41069755020 82139510040