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82783050528 = 25337109321323
BaseRepresentation
bin100110100011001000…
…0010001101100100000
321220200021220200121110
41031012100101230200
52324014430104103
6102010252023320
75660304214353
oct1150620215440
9256607820543
1082783050528
1132120968142
1214063a61b40
137a638a9289
14401462a29a
1522479ab403
hex1346411b20

82783050528 has 96 divisors (see below), whose sum is σ = 223393294656. Its totient is φ = 26822734848.

The previous prime is 82783050499. The next prime is 82783050569. The reversal of 82783050528 is 82505038728.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3871675 + ... + 3892997.

It is an arithmetic number, because the mean of its divisors is an integer number (2327013486).

Almost surely, 282783050528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82783050528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111696647328).

82783050528 is an abundant number, since it is smaller than the sum of its proper divisors (140610244128).

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

82783050528 is a wasteful number, since it uses less digits than its factorization.

82783050528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22466 (or 22458 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 48.

The spelling of 82783050528 in words is "eighty-two billion, seven hundred eighty-three million, fifty thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 592 888 1093 1184 1776 2186 3279 3552 4372 6558 8744 13116 17488 21323 26232 34976 40441 42646 52464 63969 80882 85292 104928 121323 127938 161764 170584 242646 255876 323528 341168 485292 511752 647056 682336 788951 970584 1023504 1294112 1577902 1941168 2047008 2366853 3155804 3882336 4733706 6311608 9467412 12623216 18934824 23306039 25246432 37869648 46612078 69918117 75739296 93224156 139836234 186448312 279672468 372896624 559344936 745793248 862323443 1118689872 1724646886 2237379744 2586970329 3449293772 5173940658 6898587544 10347881316 13797175088 20695762632 27594350176 41391525264 82783050528