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13999171956 = 223711219711021
BaseRepresentation
bin11010000100110101…
…00110100101110100
31100010121220121201020
431002122212211310
5212132242000311
610233042501140
71003624666260
oct150232464564
940117817636
1013999171956
115a34193100
1228683647b0
1314213ac003
1496b33d0a0
1556e01cc06
hex3426a6974

13999171956 has 288 divisors, whose sum is σ = 43844290560. Its totient is φ = 3392928000.

The previous prime is 13999171919. The next prime is 13999171999. The reversal of 13999171956 is 65917199931.

It is a happy number.

Its product of digits (4133430) is a multiple of the sum of its prime divisors (1134).

It is a self number, because there is not a number n which added to its sum of digits gives 13999171956.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13710726 + ... + 13711746.

It is an arithmetic number, because the mean of its divisors is an integer number (152237120).

Almost surely, 213999171956 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13999171956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21922145280).

13999171956 is an abundant number, since it is smaller than the sum of its proper divisors (29845118604).

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

13999171956 is a wasteful number, since it uses less digits than its factorization.

13999171956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1147 (or 1134 counting only the distinct ones).

The product of its digits is 4133430, while the sum is 60.

The spelling of 13999171956 in words is "thirteen billion, nine hundred ninety-nine million, one hundred seventy-one thousand, nine hundred fifty-six".