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82373768628 = 22341795773673
BaseRepresentation
bin100110010110111011…
…0111111010110110100
321212121202210000101120
41030231312333112310
52322200141044003
6101501511423540
75644204323564
oct1145566772664
9255552700346
1082373768628
1131a30932638
1213b6a984bb0
1379c9b67c38
143db612ada4
152221ab2853
hex132ddbf5b4

82373768628 has 96 divisors (see below), whose sum is σ = 199785653760. Its totient is φ = 26396098560.

The previous prime is 82373768551. The next prime is 82373768629. The reversal of 82373768628 is 82686737328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82373768629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22425000 + ... + 22428672.

It is an arithmetic number, because the mean of its divisors is an integer number (2081100560).

Almost surely, 282373768628 is an apocalyptic number.

It is an amenable number.

82373768628 is an abundant number, since it is smaller than the sum of its proper divisors (117411885132).

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

82373768628 is a wasteful number, since it uses less digits than its factorization.

82373768628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4377 (or 4375 counting only the distinct ones).

The product of its digits is 32514048, while the sum is 60.

The spelling of 82373768628 in words is "eighty-two billion, three hundred seventy-three million, seven hundred sixty-eight thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 12 41 79 82 123 158 164 237 246 316 474 492 577 948 1154 1731 2308 3239 3462 3673 6478 6924 7346 9717 11019 12956 14692 19434 22038 23657 38868 44076 45583 47314 70971 91166 94628 136749 141942 150593 182332 273498 283884 290167 301186 451779 546996 580334 602372 870501 903558 1160668 1741002 1807116 1868903 2119321 3482004 3737806 4238642 5606709 6357963 7475612 8477284 11213418 11896847 12715926 22426836 23793694 25431852 35690541 47587388 71381082 86892161 142762164 167426359 173784322 260676483 334852718 347568644 502279077 521352966 669705436 1004558154 1042705932 2009116308 6864480719 13728961438 20593442157 27457922876 41186884314 82373768628