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23973949440 = 2123257171093
BaseRepresentation
bin10110010100111101…
…010111000000000000
32021212210012211001100
4112110331113000000
5343044312340230
615002524534400
71506045131220
oct262475270000
967783184040
1023973949440
11a192740061
1247909b1400
132350aa7bcc
141235db8080
15954a97660
hex594f57000

23973949440 has 624 divisors, whose sum is σ = 100649435328. Its totient is φ = 5152702464.

The previous prime is 23973949339. The next prime is 23973949451. The reversal of 23973949440 is 4494937932.

It is a happy number.

23973949440 is a `hidden beast` number, since 23 + 97 + 3 + 9 + 494 + 40 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21933534 + ... + 21934626.

It is an arithmetic number, because the mean of its divisors is an integer number (161297172).

Almost surely, 223973949440 is an apocalyptic number.

23973949440 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 23973949440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50324717664).

23973949440 is an abundant number, since it is smaller than the sum of its proper divisors (76675485888).

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

23973949440 is a wasteful number, since it uses less digits than its factorization.

23973949440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 23973949440 in words is "twenty-three billion, nine hundred seventy-three million, nine hundred forty-nine thousand, four hundred forty".