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82514757930 = 235111783177211
BaseRepresentation
bin100110011011001000…
…0110100100100101010
321212222121002000100120
41030312100310210222
52322442234223210
6101523505344110
75650535604243
oct1146620644452
9255877060316
1082514757930
1131aa347aa20
1213baa038036
137a20130667
143dcab4bcca
15222e162270
hex133643492a

82514757930 has 128 divisors (see below), whose sum is σ = 231504086016. Its totient is φ = 18599961600.

The previous prime is 82514757907. The next prime is 82514757931. The reversal of 82514757930 is 3975741528.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (82514757931) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 377025 + ... + 554235.

It is an arithmetic number, because the mean of its divisors is an integer number (1808625672).

Almost surely, 282514757930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82514757930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115752043008).

82514757930 is an abundant number, since it is smaller than the sum of its proper divisors (148989328086).

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

82514757930 is a wasteful number, since it uses less digits than its factorization.

82514757930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177332.

The product of its (nonzero) digits is 2116800, while the sum is 51.

The spelling of 82514757930 in words is "eighty-two billion, five hundred fourteen million, seven hundred fifty-seven thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 17 22 30 33 34 51 55 66 83 85 102 110 165 166 170 187 249 255 330 374 415 498 510 561 830 913 935 1122 1245 1411 1826 1870 2490 2739 2805 2822 4233 4565 5478 5610 7055 8466 9130 13695 14110 15521 21165 27390 31042 42330 46563 77605 93126 155210 177211 232815 354422 465630 531633 886055 1063266 1772110 1949321 2658165 3012587 3898642 5316330 5847963 6025174 9037761 9746605 11695926 14708513 15062935 18075522 19493210 29239815 29417026 30125870 33138457 44125539 45188805 58479630 66276914 73542565 88251078 90377610 99415371 147085130 161793643 165692285 198830742 220627695 250044721 323587286 331384570 441255390 485380929 497076855 500089442 750134163 808968215 970761858 994153710 1250223605 1500268326 1617936430 2426904645 2500447210 2750491931 3750670815 4853809290 5500983862 7501341630 8251475793 13752459655 16502951586 27504919310 41257378965 82514757930