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133115525168106 = 231315733937320303
BaseRepresentation
bin11110010001000101011111…
…100101110111101111101010
3122110022201102211021011100210
4132101011133211313233222
5114421431043420334411
61151040232242441550
740016164543533045
oct3621053745675752
9573281384234323
10133115525168106
1139461a82708648
1212b1a8200632b6
135937981198510
1424c2b7bda3c5c
15105c990ec6ca6
hex79115f977bea

133115525168106 has 64 divisors (see below), whose sum is σ = 288545945522688. Its totient is φ = 40696413907968.

The previous prime is 133115525168033. The next prime is 133115525168111. The reversal of 133115525168106 is 601861525511331.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 415432351 + ... + 415752653.

It is an arithmetic number, because the mean of its divisors is an integer number (4508530398792).

Almost surely, 2133115525168106 is an apocalyptic number.

133115525168106 is an abundant number, since it is smaller than the sum of its proper divisors (155430420354582).

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

133115525168106 is a wasteful number, since it uses less digits than its factorization.

133115525168106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354415.

The product of its (nonzero) digits is 648000, while the sum is 48.

The spelling of 133115525168106 in words is "one hundred thirty-three trillion, one hundred fifteen billion, five hundred twenty-five million, one hundred sixty-eight thousand, one hundred six".

Divisors: 1 2 3 6 13 26 39 78 157 314 471 942 2041 4082 6123 12246 33937 67874 101811 203622 320303 441181 640606 882362 960909 1323543 1921818 2647086 4163939 5328109 8327878 10656218 12491817 15984327 24983634 31968654 50287571 69265417 100575142 138530834 150862713 207796251 301725426 415592502 653738423 1307476846 1961215269 3922430538 10870122911 21740245822 32610368733 65220737466 141311597843 282623195686 423934793529 847869587058 1706609297027 3413218594054 5119827891081 10239655782162 22185920861351 44371841722702 66557762584053 133115525168106