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23382866268 = 22331953673209
BaseRepresentation
bin10101110001101110…
…100011100101011100
32020100120222200101000
4111301232203211130
5340342003210033
614424131550300
71455310040526
oct256156434534
966316880330
1023382866268
119a0a022573
124646a5b390
1322884b1b58
1411bb6b2a16
1591cc3ba13
hex571ba395c

23382866268 has 192 divisors, whose sum is σ = 66007872000. Its totient is φ = 7134386688.

The previous prime is 23382866267. The next prime is 23382866317. The reversal of 23382866268 is 86266828332.

23382866268 is a `hidden beast` number, since 2 + 3 + 3 + 8 + 2 + 8 + 6 + 626 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23382866261) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 7285048 + ... + 7288256.

It is an arithmetic number, because the mean of its divisors is an integer number (343791000).

Almost surely, 223382866268 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23382866268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33003936000).

23382866268 is an abundant number, since it is smaller than the sum of its proper divisors (42625005732).

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

23382866268 is a wasteful number, since it uses less digits than its factorization.

23382866268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3361 (or 3353 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 54.

The spelling of 23382866268 in words is "twenty-three billion, three hundred eighty-two million, eight hundred sixty-six thousand, two hundred sixty-eight".