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11426874120 = 233456752639
BaseRepresentation
bin10101010010001100…
…00100001100001000
31002111100200100110000
422221012010030020
5141400234432440
65125513323000
7553111553544
oct125106041410
932440610400
1011426874120
114934199722
12226aa06460
1311014b819c
147a586ca24
1546d2b0730
hex2a9184308

11426874120 has 160 divisors (see below), whose sum is σ = 38980972800. Its totient is φ = 3001629312.

The previous prime is 11426874103. The next prime is 11426874143. The reversal of 11426874120 is 2147862411.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 190761 + ... + 243399.

It is an arithmetic number, because the mean of its divisors is an integer number (243631080).

Almost surely, 211426874120 is an apocalyptic number.

11426874120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11426874120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19490486400).

11426874120 is an abundant number, since it is smaller than the sum of its proper divisors (27554098680).

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

11426874120 is a wasteful number, since it uses less digits than its factorization.

11426874120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52729 (or 52716 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 11426874120 in words is "eleven billion, four hundred twenty-six million, eight hundred seventy-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 67 72 81 90 108 120 134 135 162 180 201 216 268 270 324 335 360 402 405 536 540 603 648 670 804 810 1005 1080 1206 1340 1608 1620 1809 2010 2412 2680 3015 3240 3618 4020 4824 5427 6030 7236 8040 9045 10854 12060 14472 18090 21708 24120 27135 36180 43416 52639 54270 72360 105278 108540 157917 210556 217080 263195 315834 421112 473751 526390 631668 789585 947502 1052780 1263336 1421253 1579170 1895004 2105560 2368755 2842506 3158340 3526813 3790008 4263759 4737510 5685012 6316680 7053626 7106265 8527518 9475020 10580439 11370024 14107252 14212530 17055036 17634065 18950040 21160878 21318795 28214504 28425060 31741317 34110072 35268130 42321756 42637590 52902195 56850120 63482634 70536260 84643512 85275180 95223951 105804390 126965268 141072520 158706585 170550360 190447902 211608780 253930536 285671853 317413170 380895804 423217560 476119755 571343706 634826340 761791608 952239510 1142687412 1269652680 1428359265 1904479020 2285374824 2856718530 3808958040 5713437060 11426874120