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15135073842 = 2372291979011
BaseRepresentation
bin11100001100001111…
…01110011000110010
31110001210022102011110
432012013232120302
5221444034330332
610541501054150
71044030001500
oct160607563062
943053272143
1015135073842
116467399a99
122b24857356
1315728200c5
14a38145670
155d8ae64cc
hex3861ee632

15135073842 has 96 divisors (see below), whose sum is σ = 36615395520. Its totient is φ = 4153537920.

The previous prime is 15135073817. The next prime is 15135073853. The reversal of 15135073842 is 24837053151.

It is a happy number.

15135073842 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 15135073842.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1675117 + ... + 1684127.

It is an arithmetic number, because the mean of its divisors is an integer number (381410370).

Almost surely, 215135073842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15135073842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18307697760).

15135073842 is an abundant number, since it is smaller than the sum of its proper divisors (21480321678).

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

15135073842 is a wasteful number, since it uses less digits than its factorization.

15135073842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9256 (or 9249 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The spelling of 15135073842 in words is "fifteen billion, one hundred thirty-five million, seventy-three thousand, eight hundred forty-two".

Divisors: 1 2 3 6 7 14 21 29 42 49 58 87 98 147 174 197 203 294 394 406 591 609 1182 1218 1379 1421 2758 2842 4137 4263 5713 8274 8526 9011 9653 11426 17139 18022 19306 27033 28959 34278 39991 54066 57918 63077 79982 119973 126154 189231 239946 261319 279937 378462 441539 522638 559874 783957 839811 883078 1324617 1567914 1679622 1775167 1829233 2649234 3550334 3658466 5325501 5487699 10651002 10975398 12426169 12804631 24852338 25609262 37278507 38413893 51479843 74557014 76827786 86983183 102959686 154439529 173966366 260949549 308879058 360358901 521899098 720717802 1081076703 2162153406 2522512307 5045024614 7567536921 15135073842