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11842256640 = 28359731793
BaseRepresentation
bin10110000011101101…
…00111111100000000
31010120022021222010210
423001312213330000
5143223104203030
65235032354120
7566314343364
oct130166477400
933508258123
1011842256640
115027710765
122365b45940
131169584266
14804ab92a4
154949b1bb0
hex2c1da7f00

11842256640 has 144 divisors (see below), whose sum is σ = 38212318368. Its totient is φ = 3125280768.

The previous prime is 11842256639. The next prime is 11842256641. The reversal of 11842256640 is 4665224811.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11842256639) and next prime (11842256641).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11842256641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 356584 + ... + 388376.

It is an arithmetic number, because the mean of its divisors is an integer number (265363322).

Almost surely, 211842256640 is an apocalyptic number.

11842256640 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 11842256640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19106159184).

11842256640 is an abundant number, since it is smaller than the sum of its proper divisors (26370061728).

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

11842256640 is an equidigital number, since it uses as much as digits as its factorization.

11842256640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31914 (or 31900 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The spelling of 11842256640 in words is "eleven billion, eight hundred forty-two million, two hundred fifty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 97 120 128 160 192 194 240 256 291 320 384 388 480 485 582 640 768 776 960 970 1164 1280 1455 1552 1920 1940 2328 2910 3104 3840 3880 4656 5820 6208 7760 9312 11640 12416 15520 18624 23280 24832 31040 31793 37248 46560 62080 63586 74496 93120 95379 124160 127172 158965 186240 190758 254344 317930 372480 381516 476895 508688 635860 763032 953790 1017376 1271720 1526064 1907580 2034752 2543440 3052128 3083921 3815160 4069504 5086880 6104256 6167842 7630320 8139008 9251763 10173760 12208512 12335684 15260640 15419605 18503526 20347520 24417024 24671368 30521280 30839210 37007052 40695040 46258815 49342736 61042560 61678420 74014104 92517630 98685472 122085120 123356840 148028208 185035260 197370944 246713680 296056416 370070520 394741888 493427360 592112832 740141040 789483776 986854720 1184225664 1480282080 1973709440 2368451328 2960564160 3947418880 5921128320 11842256640