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23563478016 = 21034132412
BaseRepresentation
bin10101111100011111…
…100010010000000000
32020211011211201010000
4111330133202100000
5341224222244031
614454103040000
71462632154431
oct257437422000
966734751100
1023563478016
119aa1a72881
124697440000
1322b6a3b300
1411d7689488
1592da163e6
hex57c7e2400

23563478016 has 495 divisors, whose sum is σ = 78097940283. Its totient is φ = 7073464320.

The previous prime is 23563477999. The next prime is 23563478027. The reversal of 23563478016 is 61087436532.

The square root of 23563478016 is 153504.

It is a perfect power (a square), and thus also a powerful number.

23563478016 is a `hidden beast` number, since 2 + 3 + 5 + 634 + 7 + 8 + 0 + 1 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15695078400 + 7868399616 = 125280^2 + 88704^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 574718956 + ... + 574718996.

Almost surely, 223563478016 is an apocalyptic number.

23563478016 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

23563478016 is the 153504-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23563478016

23563478016 is an abundant number, since it is smaller than the sum of its proper divisors (54534462267).

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

23563478016 is an equidigital number, since it uses as much as digits as its factorization.

23563478016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 23563478016 in words is "twenty-three billion, five hundred sixty-three million, four hundred seventy-eight thousand, sixteen".