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12661341660 = 2234511710513
BaseRepresentation
bin10111100101010110…
…01011110111011100
31012200101112210120000
423302223023313130
5201412300413120
65452212254300
7625521425352
oct136253136734
935611483500
1012661341660
115407aa7430
122554311390
13126a189c56
148817b17d2
154e1858990
hex2f2acbddc

12661341660 has 120 divisors (see below), whose sum is σ = 43329985776. Its totient is φ = 3069411840.

The previous prime is 12661341647. The next prime is 12661341661. The reversal of 12661341660 is 6614316621.

It is a happy number.

12661341660 is a `hidden beast` number, since 1 + 26 + 613 + 4 + 16 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12661341661) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 337437 + ... + 373076.

Almost surely, 212661341660 is an apocalyptic number.

12661341660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12661341660 is an abundant number, since it is smaller than the sum of its proper divisors (30668644116).

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

12661341660 is a wasteful number, since it uses less digits than its factorization.

12661341660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710545 (or 710534 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 12661341660 in words is "twelve billion, six hundred sixty-one million, three hundred forty-one thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 81 90 99 108 110 132 135 162 165 180 198 220 270 297 324 330 396 405 495 540 594 660 810 891 990 1188 1485 1620 1782 1980 2970 3564 4455 5940 8910 17820 710513 1421026 2131539 2842052 3552565 4263078 6394617 7105130 7815643 8526156 10657695 12789234 14210260 15631286 19183851 21315390 23446929 25578468 31262572 31973085 38367702 39078215 42630780 46893858 57551553 63946170 70340787 76735404 78156430 93787716 95919255 115103106 117234645 127892340 140681574 156312860 191838510 211022361 230206212 234469290 281363148 287757765 351703935 383677020 422044722 468938580 575515530 633067083 703407870 844089444 1055111805 1151031060 1266134166 1406815740 2110223610 2532268332 3165335415 4220447220 6330670830 12661341660