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23126238720000 = 21234541323373
BaseRepresentation
bin1010100001000011111110…
…01111100111000000000000
310000212211212100011012120000
411100201333033213000000
511012400014103020000
6121104014123320000
74604546516501313
oct520417717470000
9100784770135500
1023126238720000
117406867948579
12271602a680000
13cb9a4468a0a0
1459d45cc8a97a
152a1877120000
hex15087f3e7000

23126238720000 has 2600 divisors, whose sum is σ = 97271185681824. Its totient is φ = 5430509568000.

The previous prime is 23126238719989. The next prime is 23126238720059. The reversal of 23126238720000 is 2783262132.

23126238720000 is a `hidden beast` number, since 2 + 3 + 1 + 2 + 623 + 8 + 7 + 20 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2600).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 62000639814 + ... + 62000640186.

Almost surely, 223126238720000 is an apocalyptic number.

23126238720000 is a gapful number since it is divisible by the number (20) 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 23126238720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48635592840912).

23126238720000 is an abundant number, since it is smaller than the sum of its proper divisors (74144946961824).

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

23126238720000 is an equidigital number, since it uses as much as digits as its factorization.

23126238720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 23126238720000 in words is "twenty-three trillion, one hundred twenty-six billion, two hundred thirty-eight million, seven hundred twenty thousand".