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13806898560 = 2732572135371
BaseRepresentation
bin11001101101111010…
…01000110110000000
31022122020010010012100
430312331020312000
5211234031223220
610202013430400
7666101462400
oct146675106600
938566103170
1013806898560
1159456a8274
122813a9b400
1313c05cb880
1494d9ac800
1555c1dcd90
hex336f48d80

13806898560 has 1152 divisors, whose sum is σ = 61711191360. Its totient is φ = 2817884160.

The previous prime is 13806898487. The next prime is 13806898583. The reversal of 13806898560 is 6589860831.

13806898560 is a `hidden beast` number, since 13 + 8 + 0 + 68 + 9 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×138068985602 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13806898497 and 13806898506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 194463325 + ... + 194463395.

Almost surely, 213806898560 is an apocalyptic number.

13806898560 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 13806898560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30855595680).

13806898560 is an abundant number, since it is smaller than the sum of its proper divisors (47904292800).

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

13806898560 is a wasteful number, since it uses less digits than its factorization.

13806898560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 13806898560 in words is "thirteen billion, eight hundred six million, eight hundred ninety-eight thousand, five hundred sixty".