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13696397568 = 2835771443
BaseRepresentation
bin11001100000101111…
…00111000100000000
31022100112012002100000
430300113213010000
5211022234210233
610143025200000
7663260313150
oct146027470400
938315162300
1013696397568
115899294237
1227a2a90000
1313a374c479
1493d046760
15552661d13
hex3305e7100

13696397568 has 432 divisors, whose sum is σ = 47569406976. Its totient is φ = 3849431040.

The previous prime is 13696397567. The next prime is 13696397569. The reversal of 13696397568 is 86579369631.

13696397568 is a `hidden beast` number, since 1 + 3 + 6 + 9 + 63 + 9 + 7 + 568 = 666.

It is an interprime number because it is at equal distance from previous prime (13696397567) and next prime (13696397569).

It is a tau number, because it is divible by the number of its divisors (432).

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

It is not an unprimeable number, because it can be changed into a prime (13696397567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30917155 + ... + 30917597.

It is an arithmetic number, because the mean of its divisors is an integer number (110114368).

Almost surely, 213696397568 is an apocalyptic number.

13696397568 is a gapful number since it is divisible by the number (18) 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 13696397568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23784703488).

13696397568 is an abundant number, since it is smaller than the sum of its proper divisors (33873009408).

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

13696397568 is an frugal number, since it uses more digits than its factorization.

13696397568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 526 counting only the distinct ones).

The product of its digits is 44089920, while the sum is 63.

The spelling of 13696397568 in words is "thirteen billion, six hundred ninety-six million, three hundred ninety-seven thousand, five hundred sixty-eight".