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13881375920 = 2453121031753
BaseRepresentation
bin11001110110110010…
…01111110010110000
31022211102020221221002
430323121033302300
5211412113012140
610213234021132
71000664514506
oct147331176260
938742227832
1013881375920
115983747205
122834a177a8
131402b77309
14959838676
15563a00415
hex33b64fcb0

13881375920 has 120 divisors (see below), whose sum is σ = 33691870368. Its totient is φ = 5318231040.

The previous prime is 13881375917. The next prime is 13881375929. The reversal of 13881375920 is 2957318831.

It is not an unprimeable number, because it can be changed into a prime (13881375929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7917764 + ... + 7919516.

Almost surely, 213881375920 is an apocalyptic number.

13881375920 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 13881375920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16845935184).

13881375920 is an abundant number, since it is smaller than the sum of its proper divisors (19810494448).

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

13881375920 is a wasteful number, since it uses less digits than its factorization.

13881375920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1931 (or 1894 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 47.

The spelling of 13881375920 in words is "thirteen billion, eight hundred eighty-one million, three hundred seventy-five thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 103 124 155 206 248 310 412 496 515 620 824 961 1030 1240 1648 1753 1922 2060 2480 3193 3506 3844 4120 4805 6386 7012 7688 8240 8765 9610 12772 14024 15376 15965 17530 19220 25544 28048 31930 35060 38440 51088 54343 63860 70120 76880 98983 108686 127720 140240 180559 197966 217372 255440 271715 361118 395932 434744 494915 543430 722236 791864 869488 902795 989830 1086860 1444472 1583728 1684633 1805590 1979660 2173720 2888944 3369266 3611180 3959320 4347440 5597329 6738532 7222360 7918640 8423165 11194658 13477064 14444720 16846330 22389316 26954128 27986645 33692660 44778632 55973290 67385320 89557264 111946580 134770640 173517199 223893160 347034398 447786320 694068796 867585995 1388137592 1735171990 2776275184 3470343980 6940687960 13881375920