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13563420576 = 2533141891249
BaseRepresentation
bin11001010000111000…
…10101111110100000
31022000020222011012020
430220130111332200
5210234213424301
610121515101440
7660054113136
oct145034257640
938006864166
1013563420576
1158302196a2
122766441880
131382030964
1492950d756
15545b46436
hex328715fa0

13563420576 has 192 divisors, whose sum is σ = 38102400000. Its totient is φ = 4217241600.

The previous prime is 13563420569. The next prime is 13563420587. The reversal of 13563420576 is 67502436531.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10858800 + ... + 10860048.

It is an arithmetic number, because the mean of its divisors is an integer number (198450000).

Almost surely, 213563420576 is an apocalyptic number.

13563420576 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 13563420576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19051200000).

13563420576 is an abundant number, since it is smaller than the sum of its proper divisors (24538979424).

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

13563420576 is a wasteful number, since it uses less digits than its factorization.

13563420576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1423 (or 1415 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 42.

The spelling of 13563420576 in words is "thirteen billion, five hundred sixty-three million, four hundred twenty thousand, five hundred seventy-six".