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13978275696 = 24327116591913
BaseRepresentation
bin11010000010010101…
…11000111101110000
31100002011120222102200
431001022320331300
5212111414310241
610231014543200
71003252245240
oct150112707560
940064528380
1013978275696
115a23410470
122861367b00
131419c73968
1496865db20
1556c2914b6
hex3412b8f70

13978275696 has 240 divisors, whose sum is σ = 48872229120. Its totient is φ = 3623316480.

The previous prime is 13978275683. The next prime is 13978275739. The reversal of 13978275696 is 69657287931.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 7306036 + ... + 7307948.

It is an arithmetic number, because the mean of its divisors is an integer number (203634288).

Almost surely, 213978275696 is an apocalyptic number.

13978275696 is a gapful number since it is divisible by the number (16) 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 13978275696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24436114560).

13978275696 is an abundant number, since it is smaller than the sum of its proper divisors (34893953424).

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

13978275696 is a wasteful number, since it uses less digits than its factorization.

13978275696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2604 (or 2595 counting only the distinct ones).

The product of its digits is 34292160, while the sum is 63.

The spelling of 13978275696 in words is "thirteen billion, nine hundred seventy-eight million, two hundred seventy-five thousand, six hundred ninety-six".