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82121940582 = 231159103204751
BaseRepresentation
bin100110001111011011…
…0010101111001100110
321211222012220211020220
41030132312111321212
52321141204044312
6101420514105210
75635025656203
oct1143666257146
9254865824226
1082121940582
1131911770490
1213aba57b206
137989935466
143d908d6caa
15220991bc8c
hex131ed95e66

82121940582 has 64 divisors (see below), whose sum is σ = 183981957120. Its totient is φ = 24226020000.

The previous prime is 82121940577. The next prime is 82121940617. The reversal of 82121940582 is 28504912128.

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, 298707 + ... + 503457.

It is an arithmetic number, because the mean of its divisors is an integer number (2874718080).

Almost surely, 282121940582 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82121940582, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91990978560).

82121940582 is an abundant number, since it is smaller than the sum of its proper divisors (101860016538).

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

82121940582 is a wasteful number, since it uses less digits than its factorization.

82121940582 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204929.

The product of its (nonzero) digits is 92160, while the sum is 42.

The spelling of 82121940582 in words is "eighty-two billion, one hundred twenty-one million, nine hundred forty thousand, five hundred eighty-two".

Divisors: 1 2 3 6 11 22 33 59 66 103 118 177 206 309 354 618 649 1133 1298 1947 2266 3399 3894 6077 6798 12154 18231 36462 66847 133694 200541 204751 401082 409502 614253 1228506 2252261 4504522 6756783 12080309 13513566 21089353 24160618 36240927 42178706 63268059 72481854 126536118 132883399 231982883 265766798 398650197 463965766 695948649 797300394 1244271827 1391897298 2488543654 3732815481 7465630962 13686990097 27373980194 41060970291 82121940582