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12905074170 = 23351719147977
BaseRepresentation
bin11000000010011001…
…11100110111111010
31020022101011200201000
430001030330313322
5202412144333140
65532320305430
7634541214642
oct140114746772
936271150630
1012905074170
11552263a25a
122601a72276
1312a8816981
148a5cd9522
15507e50a30
hex30133cdfa

12905074170 has 128 divisors (see below), whose sum is σ = 38355897600. Its totient is φ = 3068430336.

The previous prime is 12905074159. The next prime is 12905074183. The reversal of 12905074170 is 7147050921.

It is a happy number.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13222 + ... + 161198.

It is an arithmetic number, because the mean of its divisors is an integer number (299655450).

Almost surely, 212905074170 is an apocalyptic number.

12905074170 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12905074170, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19177948800).

12905074170 is an abundant number, since it is smaller than the sum of its proper divisors (25450823430).

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

12905074170 is a wasteful number, since it uses less digits than its factorization.

12905074170 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148029 (or 148023 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The spelling of 12905074170 in words is "twelve billion, nine hundred five million, seventy-four thousand, one hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 17 18 19 27 30 34 38 45 51 54 57 85 90 95 102 114 135 153 170 171 190 255 270 285 306 323 342 459 510 513 570 646 765 855 918 969 1026 1530 1615 1710 1938 2295 2565 2907 3230 4590 4845 5130 5814 8721 9690 14535 17442 29070 43605 87210 147977 295954 443931 739885 887862 1331793 1479770 2219655 2515609 2663586 2811563 3995379 4439310 5031218 5623126 6658965 7546827 7990758 8434689 12578045 13317930 14057815 15093654 16869378 19976895 22640481 25156090 25304067 28115630 37734135 39953790 42173445 45280962 47796571 50608134 67921443 75468270 75912201 84346890 95593142 113202405 126520335 135842886 143389713 151824402 226404810 238982855 253040670 286779426 339607215 379561005 430169139 477965710 679214430 716948565 759122010 860338278 1290507417 1433897130 2150845695 2581014834 4301691390 6452537085 12905074170