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13991206296060 = 223357192373116027
BaseRepresentation
bin1100101110011001010011…
…1000011001100111111100
31211112112202020000111202000
43023212110320121213330
53313212442302433220
645431245455302300
72642555064165540
oct313462470314774
954475666014660
1013991206296060
114504701227774
12169b70a81a990
137a6499153936
1436526c5d7a20
15193e23dc1390
hexcb994e199fc

13991206296060 has 768 divisors, whose sum is σ = 55390467686400. Its totient is φ = 2858227181568.

The previous prime is 13991206296059. The next prime is 13991206296061. The reversal of 13991206296060 is 6069260219931.

13991206296060 is a `hidden beast` number, since 1 + 3 + 9 + 9 + 1 + 2 + 0 + 6 + 29 + 606 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13991206296059) and next prime (13991206296061).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 13991206295988 and 13991206296006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13991206296061) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 120527767 + ... + 120643793.

It is an arithmetic number, because the mean of its divisors is an integer number (72123004800).

Almost surely, 213991206296060 is an apocalyptic number.

13991206296060 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 13991206296060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27695233843200).

13991206296060 is an abundant number, since it is smaller than the sum of its proper divisors (41399261390340).

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

13991206296060 is a wasteful number, since it uses less digits than its factorization.

13991206296060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116167 (or 116159 counting only the distinct ones).

The product of its (nonzero) digits is 1889568, while the sum is 54.

The spelling of 13991206296060 in words is "thirteen trillion, nine hundred ninety-one billion, two hundred six million, two hundred ninety-six thousand, sixty".