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23059204000000 = 285678
BaseRepresentation
bin1010011111000111000111…
…01010011100100100000000
310000122102211120111121010121
411033203203222130210000
511010300222211000000
6121013130240510024
74566654400000000
oct517434352344400
9100572746447117
1023059204000000
117390398562233
12270504091b314
13cb362068b7ac
1459a100000000
1529ec51ee5b1a
hex14f8e3a9c900

23059204000000 has 567 divisors, whose sum is σ = 67123791409941. Its totient is φ = 7906012800000.

The previous prime is 23059203999913. The next prime is 23059204000003. The reversal of 23059204000000 is 40295032.

It is a happy number.

The square root of 23059204000000 is 4802000.

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

It can be written as a sum of positive squares in 3 ways, for example, as 20202076387584 + 2857127612416 = 4494672^2 + 1690304^2 .

It is a super-2 number, since 2×230592040000002 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (23059204000003) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 3294171999997 + ... + 3294172000003.

Almost surely, 223059204000000 is an apocalyptic number.

23059204000000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

23059204000000 is the 4802000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23059204000000

23059204000000 is an abundant number, since it is smaller than the sum of its proper divisors (44064587409941).

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

23059204000000 is an frugal number, since it uses more digits than its factorization.

23059204000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

Multiplying 23059204000000 by its sum of digits (25), we get a 8-th power (576480100000000 = 708).

23059204000000 divided by its sum of digits (25) gives a 4-th power (922368160000 = 9804).

Adding to 23059204000000 its reverse (40295032), we get a palindrome (23059244295032).

The spelling of 23059204000000 in words is "twenty-three trillion, fifty-nine billion, two hundred four million", and thus it is an aban number.