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82574458836 = 223174316357751
BaseRepresentation
bin100110011100111010…
…0100011111111010100
321220010202102010121020
41030321310203333110
52323103030140321
6101533441121140
75652162214332
oct1147164437724
9256122363536
1082574458836
1132024147111
12140060291b0
137a2c60443c
143dd4a4cb52
1522345064c6
hex1339d23fd4

82574458836 has 96 divisors (see below), whose sum is σ = 210036169728. Its totient is φ = 25147584000.

The previous prime is 82574458829. The next prime is 82574458859. The reversal of 82574458836 is 63885447528.

It is a self number, because there is not a number n which added to its sum of digits gives 82574458836.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1400961 + ... + 1458711.

It is an arithmetic number, because the mean of its divisors is an integer number (2187876768).

Almost surely, 282574458836 is an apocalyptic number.

82574458836 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82574458836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105018084864).

82574458836 is an abundant number, since it is smaller than the sum of its proper divisors (127461710892).

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

82574458836 is a wasteful number, since it uses less digits than its factorization.

82574458836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57981 (or 57979 counting only the distinct ones).

The product of its digits is 51609600, while the sum is 60.

The spelling of 82574458836 in words is "eighty-two billion, five hundred seventy-four million, four hundred fifty-eight thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 12 17 34 43 51 68 86 102 129 163 172 204 258 326 489 516 652 731 978 1462 1956 2193 2771 2924 4386 5542 7009 8313 8772 11084 14018 16626 21027 28036 33252 42054 57751 84108 115502 119153 173253 231004 238306 346506 357459 476612 693012 714918 981767 1429836 1963534 2483293 2945301 3927068 4966586 5890602 7449879 9413413 9933172 11781204 14899758 18826826 28240239 29799516 37653652 42215981 56480478 84431962 112960956 126647943 160028021 168863924 253295886 320056042 404776759 480084063 506591772 640112084 809553518 960168126 1214330277 1619107036 1920336252 2428660554 4857321108 6881204903 13762409806 20643614709 27524819612 41287229418 82574458836