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125335454642013 = 37112239091235901
BaseRepresentation
bin11100011111110111101111…
…010000000110111101011101
3121102202221201022222121122010
4130133313233100012331131
5112411444002342021023
61122322151334341433
735254121256310140
oct3437675720067535
9542687638877563
10125335454642013
1136a32516725300
1212082a261ba879
1354c210c7a7045
1422d43a85b0057
15e753e1e70093
hex71fdef406f5d

125335454642013 has 96 divisors (see below), whose sum is σ = 219080594589696. Its totient is φ = 62271372240000.

The previous prime is 125335454641997. The next prime is 125335454642051. The reversal of 125335454642013 is 310246454533521.

It is not a de Polignac number, because 125335454642013 - 24 = 125335454641997 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125335454642213) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 531187363 + ... + 531423263.

It is an arithmetic number, because the mean of its divisors is an integer number (2282089526976).

Almost surely, 2125335454642013 is an apocalyptic number.

It is an amenable number.

125335454642013 is a deficient number, since it is larger than the sum of its proper divisors (93745139947683).

125335454642013 is a wasteful number, since it uses less digits than its factorization.

125335454642013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245047 (or 245036 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 48.

The spelling of 125335454642013 in words is "one hundred twenty-five trillion, three hundred thirty-five billion, four hundred fifty-four million, six hundred forty-two thousand, thirteen".

Divisors: 1 3 7 11 21 23 33 69 77 121 161 231 253 363 483 759 847 1771 2541 2783 5313 8349 9091 19481 27273 58443 63637 100001 190911 209093 235901 300003 627279 700007 707703 1100011 1463651 1651307 2100021 2300023 2594911 3300033 4390953 4953921 5425723 6900069 7700077 7784733 16100161 16277169 18164377 23100231 25300253 28544021 37980061 48300483 54493131 59682953 75900759 85632063 113940183 177101771 179048859 199808147 417780671 531305313 599424441 656512483 1253342013 1969537449 2144575991 4595587381 6433727973 13786762143 15012031937 23590335901 45036095811 49325247793 70771007703 147975743379 165132351307 259493694911 345276734551 495397053921 542577725723 778481084733 1035830203653 1627733177169 1816455864377 3798044080061 5449367593131 5968354982953 11394132240183 17905064948859 41778484880671 125335454642013