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82982676042 = 235724392321
BaseRepresentation
bin100110101001000100…
…1110010011001001010
321221012012112201100000
41031102021302121022
52324422031113132
6102042142423430
75665250052060
oct1152211623112
9257165481300
1082982676042
1132213614802
12140ba891b76
137a96061c96
144032d52030
15225a28e87c
hex135227264a

82982676042 has 48 divisors (see below), whose sum is σ = 213091324992. Its totient is φ = 23709335040.

The previous prime is 82982676041. The next prime is 82982676053. The reversal of 82982676042 is 24067628928.

82982676042 is a `hidden beast` number, since 8 + 2 + 9 + 8 + 26 + 7 + 604 + 2 = 666.

It is a super-2 number, since 2×829826760422 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 82982676042.

It is not an unprimeable number, because it can be changed into a prime (82982676041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12192759 + ... + 12199562.

It is an arithmetic number, because the mean of its divisors is an integer number (4439402604).

Almost surely, 282982676042 is an apocalyptic number.

82982676042 is an abundant number, since it is smaller than the sum of its proper divisors (130108648950).

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

82982676042 is a wasteful number, since it uses less digits than its factorization.

82982676042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24392345 (or 24392333 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 82982676042 in words is "eighty-two billion, nine hundred eighty-two million, six hundred seventy-six thousand, forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 243 378 486 567 1134 1701 3402 24392321 48784642 73176963 146353926 170746247 219530889 341492494 439061778 512238741 658592667 1024477482 1317185334 1536716223 1975778001 3073432446 3951556002 4610148669 5927334003 9220297338 11854668006 13830446007 27660892014 41491338021 82982676042