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13605368902752 = 2531125927537211
BaseRepresentation
bin1100010111111011111100…
…1011100011010001100000
31210011122211112220002202210
43011332333023203101200
53240402243414342002
644534115321042120
72602645503360204
oct305767713432140
953148745802683
1013605368902752
114376006066400
12163898a626340
13778c99a18553
14350709358b04
15188d90a2a96c
hexc5fbf2e3460

13605368902752 has 288 divisors, whose sum is σ = 39941381854080. Its totient is φ = 4050926387200.

The previous prime is 13605368902711. The next prime is 13605368902781. The reversal of 13605368902752 is 25720986350631.

It is a junction number, because it is equal to n+sod(n) for n = 13605368902692 and 13605368902701.

It is a congruent number.

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, 1886748427 + ... + 1886755637.

It is an arithmetic number, because the mean of its divisors is an integer number (138685353660).

Almost surely, 213605368902752 is an apocalyptic number.

13605368902752 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 13605368902752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19970690927040).

13605368902752 is an abundant number, since it is smaller than the sum of its proper divisors (26336012951328).

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

13605368902752 is a wasteful number, since it uses less digits than its factorization.

13605368902752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10058 (or 10039 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 57.

The spelling of 13605368902752 in words is "thirteen trillion, six hundred five billion, three hundred sixty-eight million, nine hundred two thousand, seven hundred fifty-two".