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23464192752 = 2435711136029
BaseRepresentation
bin10101110110100100…
…110010101011110000
32020120021000111100000
4111312210302223300
5341023313132002
614440155030000
71460315230140
oct256644625360
966507014300
1023464192752
119a50a1a340
12466a13b300
13229c2b7c30
1411c8402920
15924e5361c
hex576932af0

23464192752 has 480 divisors, whose sum is σ = 91449146880. Its totient is φ = 5624847360.

The previous prime is 23464192651. The next prime is 23464192757. The reversal of 23464192752 is 25729146432.

It is a junction number, because it is equal to n+sod(n) for n = 23464192698 and 23464192707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23464192757) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3888874 + ... + 3894902.

It is an arithmetic number, because the mean of its divisors is an integer number (190519056).

Almost surely, 223464192752 is an apocalyptic number.

23464192752 is a gapful number since it is divisible by the number (22) 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 23464192752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45724573440).

23464192752 is an abundant number, since it is smaller than the sum of its proper divisors (67984954128).

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

23464192752 is a wasteful number, since it uses less digits than its factorization.

23464192752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6083 (or 6065 counting only the distinct ones).

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

The spelling of 23464192752 in words is "twenty-three billion, four hundred sixty-four million, one hundred ninety-two thousand, seven hundred fifty-two".