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13669685568 = 2632711228019
BaseRepresentation
bin11001011101100011…
…01101100101000000
31022021122220222100200
430232301231211000
5210443414414233
610140232445200
7662514260460
oct145661554500
938248828320
1013669685568
1158851aa100
122795b49800
13139b058c56
14939691ba0
15550137313
hex32ec6d940

13669685568 has 252 divisors, whose sum is σ = 49221725280. Its totient is φ = 3550440960.

The previous prime is 13669685563. The next prime is 13669685573. The reversal of 13669685568 is 86558696631.

13669685568 is a `hidden beast` number, since 1 + 3 + 6 + 6 + 9 + 68 + 5 + 568 = 666.

It is an interprime number because it is at equal distance from previous prime (13669685563) and next prime (13669685573).

It is a tau number, because it is divible by the number of its divisors (252).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13669685563) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 473863 + ... + 501881.

Almost surely, 213669685568 is an apocalyptic number.

13669685568 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 13669685568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24610862640).

13669685568 is an abundant number, since it is smaller than the sum of its proper divisors (35552039712).

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

13669685568 is a wasteful number, since it uses less digits than its factorization.

13669685568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28066 (or 28042 counting only the distinct ones).

The product of its digits is 55987200, while the sum is 63.

The spelling of 13669685568 in words is "thirteen billion, six hundred sixty-nine million, six hundred eighty-five thousand, five hundred sixty-eight".