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82742655630 = 23537137544109
BaseRepresentation
bin100110100001111011…
…0001011101010001110
321220120110220102020010
41031003312023222032
52323424104440010
6102002250134050
75656303653105
oct1150366135216
9256513812203
1082742655630
1132100087928
1214052421326
137a58404a7b
14400d11303c
15224417c620
hex1343d8ba8e

82742655630 has 64 divisors (see below), whose sum is σ = 205438524480. Its totient is φ = 21311622144.

The previous prime is 82742655623. The next prime is 82742655637. The reversal of 82742655630 is 3655624728.

It is an interprime number because it is at equal distance from previous prime (82742655623) and next prime (82742655637).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 82742655630.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82742655637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 119985 + ... + 424124.

It is an arithmetic number, because the mean of its divisors is an integer number (3209976945).

Almost surely, 282742655630 is an apocalyptic number.

82742655630 is an abundant number, since it is smaller than the sum of its proper divisors (122695868850).

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

82742655630 is a wasteful number, since it uses less digits than its factorization.

82742655630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544293.

The product of its (nonzero) digits is 2419200, while the sum is 48.

The spelling of 82742655630 in words is "eighty-two billion, seven hundred forty-two million, six hundred fifty-five thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 137 185 222 274 370 411 555 685 822 1110 1370 2055 4110 5069 10138 15207 25345 30414 50690 76035 152070 544109 1088218 1632327 2720545 3264654 5441090 8161635 16323270 20132033 40264066 60396099 74542933 100660165 120792198 149085866 201320330 223628799 301980495 372714665 447257598 603960990 745429330 1118143995 2236287990 2758088521 5516177042 8274265563 13790442605 16548531126 27580885210 41371327815 82742655630