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23385891672 = 23341121322943
BaseRepresentation
bin10101110001111010…
…000110001101011000
32020100210200101110000
4111301322012031120
5340343242013142
614424320453000
71455344541123
oct256172061530
966323611400
1023385891672
119a107a9600
124647a7a160
132289000c30
1411bbc5d3ba
1591d13814c
hex571e86358

23385891672 has 240 divisors, whose sum is σ = 77539936320. Its totient is φ = 6541223040.

The previous prime is 23385891671. The next prime is 23385891703. The reversal of 23385891672 is 27619858332.

23385891672 is a `hidden beast` number, since 23 + 38 + 589 + 1 + 6 + 7 + 2 = 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 (23385891671) 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 59 ways as a sum of consecutive naturals, for example, 1007833 + ... + 1030775.

It is an arithmetic number, because the mean of its divisors is an integer number (323083068).

Almost surely, 223385891672 is an apocalyptic number.

23385891672 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 23385891672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38769968160).

23385891672 is an abundant number, since it is smaller than the sum of its proper divisors (54154044648).

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

23385891672 is a wasteful number, since it uses less digits than its factorization.

23385891672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22996 (or 22972 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The spelling of 23385891672 in words is "twenty-three billion, three hundred eighty-five million, eight hundred ninety-one thousand, six hundred seventy-two".