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23492252448 = 25367293491
BaseRepresentation
bin10101111000001111…
…110101001100100000
32020122012211002000000
4111320033311030200
5341103004034243
614443040300000
71461105564630
oct257017651440
966565732000
1023492252448
119a65844a75
124677611600
1322a50609c2
1411cc0286c0
159276475d3
hex5783f5320

23492252448 has 336 divisors, whose sum is σ = 79682533056. Its totient is φ = 6675540480.

The previous prime is 23492252437. The next prime is 23492252449. The reversal of 23492252448 is 84425229432.

23492252448 is a `hidden beast` number, since 2 + 34 + 92 + 2 + 524 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is not an unprimeable number, because it can be changed into a prime (23492252449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 47845483 + ... + 47845973.

It is an arithmetic number, because the mean of its divisors is an integer number (237150396).

Almost surely, 223492252448 is an apocalyptic number.

23492252448 is a gapful number since it is divisible by the number (28) 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 23492252448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39841266528).

23492252448 is an abundant number, since it is smaller than the sum of its proper divisors (56190280608).

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

23492252448 is an equidigital number, since it uses as much as digits as its factorization.

23492252448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819 (or 796 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 45.

The spelling of 23492252448 in words is "twenty-three billion, four hundred ninety-two million, two hundred fifty-two thousand, four hundred forty-eight".