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13713077712 = 2434321373109
BaseRepresentation
bin11001100010101110…
…01111010111010000
31022101200120112012010
430301113033113100
5211041021441322
610144422502520
7663552144255
oct146127172720
938350515163
1013713077712
1158a7747284
1227a8594a40
1313a703c789
1494134942c
15553d5920c
hex3315cf5d0

13713077712 has 80 divisors (see below), whose sum is σ = 36277926080. Its totient is φ = 4461198336.

The previous prime is 13713077711. The next prime is 13713077713. The reversal of 13713077712 is 21777031731.

It is an interprime number because it is at equal distance from previous prime (13713077711) and next prime (13713077713).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13713077711) 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, 4409214 + ... + 4412322.

It is an arithmetic number, because the mean of its divisors is an integer number (453474076).

Almost surely, 213713077712 is an apocalyptic number.

13713077712 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 13713077712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18138963040).

13713077712 is an abundant number, since it is smaller than the sum of its proper divisors (22564848368).

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

13713077712 is a wasteful number, since it uses less digits than its factorization.

13713077712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5300 (or 5294 counting only the distinct ones).

The product of its (nonzero) digits is 43218, while the sum is 39.

The spelling of 13713077712 in words is "thirteen billion, seven hundred thirteen million, seventy-seven thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 86 129 172 258 344 516 688 1032 2064 2137 3109 4274 6218 6411 8548 9327 12436 12822 17096 18654 24872 25644 34192 37308 49744 51288 74616 91891 102576 133687 149232 183782 267374 275673 367564 401061 534748 551346 735128 802122 1069496 1102692 1470256 1604244 2138992 2205384 3208488 4410768 6416976 6643933 13287866 19931799 26575732 39863598 53151464 79727196 106302928 159454392 285689119 318908784 571378238 857067357 1142756476 1714134714 2285512952 3428269428 4571025904 6856538856 13713077712