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104425355104344 = 233237284313787797
BaseRepresentation
bin10111101111100101101100…
…001100100101000001011000
3111200201222002112200100121100
4113233211230030211001120
5102141401111401314334
61010032202412511400
730665324434654401
oct2757455414450130
9450658075610540
10104425355104344
11303005a965832a
12b86640017b560
134636365538821
141bb02dd8d69a8
15c115230dbc99
hex5ef96c325058

104425355104344 has 96 divisors (see below), whose sum is σ = 290564606563920. Its totient is φ = 33855767624448.

The previous prime is 104425355104309. The next prime is 104425355104349. The reversal of 104425355104344 is 443401553524401.

104425355104344 is a `hidden beast` number, since 1 + 0 + 4 + 4 + 2 + 53 + 5 + 510 + 43 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 104425355104344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104425355104349) 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 23 ways as a sum of consecutive naturals, for example, 679854 + ... + 14467650.

Almost surely, 2104425355104344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104425355104344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145282303281960).

104425355104344 is an abundant number, since it is smaller than the sum of its proper divisors (186139251459576).

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

104425355104344 is a wasteful number, since it uses less digits than its factorization.

104425355104344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13790689 (or 13790682 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 45.

The spelling of 104425355104344 in words is "one hundred four trillion, four hundred twenty-five billion, three hundred fifty-five million, one hundred four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 222 296 333 444 666 888 1332 2664 2843 5686 8529 11372 17058 22744 25587 34116 51174 68232 102348 105191 204696 210382 315573 420764 631146 841528 946719 1262292 1893438 2524584 3786876 7573752 13787797 27575594 41363391 55151188 82726782 110302376 124090173 165453564 248180346 330907128 496360692 510148489 992721384 1020296978 1530445467 2040593956 3060890934 4081187912 4591336401 6121781868 9182672802 12243563736 18365345604 36730691208 39198706871 78397413742 117596120613 156794827484 235192241226 313589654968 352788361839 470384482452 705576723678 940768964904 1411153447356 1450352154227 2822306894712 2900704308454 4351056462681 5801408616908 8702112925362 11602817233816 13053169388043 17404225850724 26106338776086 34808451701448 52212677552172 104425355104344