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13931895012 = 22372176912017
BaseRepresentation
bin11001111100110011…
…11101100011100100
31022221221022121002120
430332121331203210
5212013031120022
610222240505540
71002150103500
oct147631754344
938857277076
1013931895012
1159aa211a22
12284991b2b0
131410484a79
14962429300
1556817dd5c
hex33e67d8e4

13931895012 has 144 divisors (see below), whose sum is σ = 40117387968. Its totient is φ = 3739115520.

The previous prime is 13931895001. The next prime is 13931895023. The reversal of 13931895012 is 21059813931.

It is an interprime number because it is at equal distance from previous prime (13931895001) and next prime (13931895023).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6906228 + ... + 6908244.

It is an arithmetic number, because the mean of its divisors is an integer number (278592972).

Almost surely, 213931895012 is an apocalyptic number.

13931895012 is a gapful number since it is divisible by the number (12) 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 13931895012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20058693984).

13931895012 is an abundant number, since it is smaller than the sum of its proper divisors (26185492956).

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

13931895012 is a wasteful number, since it uses less digits than its factorization.

13931895012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2746 (or 2737 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 42.

The spelling of 13931895012 in words is "thirteen billion, nine hundred thirty-one million, eight hundred ninety-five thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 49 51 68 84 98 102 119 147 196 204 238 294 357 476 588 691 714 833 1382 1428 1666 2017 2073 2499 2764 3332 4034 4146 4837 4998 6051 8068 8292 9674 9996 11747 12102 14119 14511 19348 23494 24204 28238 29022 33859 34289 35241 42357 46988 56476 58044 67718 68578 70482 82229 84714 98833 101577 102867 135436 137156 140964 164458 169428 197666 203154 205734 240023 246687 296499 328916 395332 406308 411468 480046 493374 575603 592998 720069 960092 986748 1151206 1185996 1393747 1440138 1680161 1726809 2302412 2787494 2880276 3360322 3453618 4181241 5040483 5574988 6720644 6907236 8362482 9756229 10080966 16724964 19512458 20161932 23693699 29268687 39024916 47387398 58537374 68293603 71081097 94774796 117074748 136587206 142162194 165855893 204880809 273174412 284324388 331711786 409761618 497567679 663423572 819523236 995135358 1160991251 1990270716 2321982502 3482973753 4643965004 6965947506 13931895012