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23850344448 = 213327371249
BaseRepresentation
bin10110001101100101…
…110110000000000000
32021120011122000212200
4112031211312000000
5342321142010243
614542351353200
71503014403630
oct261545660000
967504560780
1023850344448
11a129996877
124757522800
1323312bb168
1412238006c0
15948ccdad3
hex58d976000

23850344448 has 336 divisors, whose sum is σ = 80932020000. Its totient is φ = 6624903168.

The previous prime is 23850344443. The next prime is 23850344467. The reversal of 23850344448 is 84444305832.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23850344443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19094928 + ... + 19096176.

Almost surely, 223850344448 is an apocalyptic number.

23850344448 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 23850344448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40466010000).

23850344448 is an abundant number, since it is smaller than the sum of its proper divisors (57081675552).

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

23850344448 is a wasteful number, since it uses less digits than its factorization.

23850344448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1325 (or 1298 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 45.

The spelling of 23850344448 in words is "twenty-three billion, eight hundred fifty million, three hundred forty-four thousand, four hundred forty-eight".