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23057693280 = 2534512714009
BaseRepresentation
bin10101011110010110…
…000111101001100000
32012111221010011220000
4111132112013221200
5334210232141110
614331554220000
71444251105366
oct253626075140
965457104800
1023057693280
119862515266
124575b84600
13223600c1bb
14118a429636
158ee4091c0
hex55e587a60

23057693280 has 240 divisors, whose sum is σ = 82021040640. Its totient is φ = 6099867648.

The previous prime is 23057693273. The next prime is 23057693287. The reversal of 23057693280 is 8239675032.

23057693280 is a `hidden beast` number, since 2 + 305 + 7 + 69 + 3 + 280 = 666.

It is an interprime number because it is at equal distance from previous prime (23057693273) and next prime (23057693287).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23057693287) 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 39 ways as a sum of consecutive naturals, for example, 1638916 + ... + 1652924.

It is an arithmetic number, because the mean of its divisors is an integer number (341754336).

Almost surely, 223057693280 is an apocalyptic number.

23057693280 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 23057693280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41010520320).

23057693280 is an abundant number, since it is smaller than the sum of its proper divisors (58963347360).

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

23057693280 is a wasteful number, since it uses less digits than its factorization.

23057693280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14163 (or 14146 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 23057693280 in words is "twenty-three billion, fifty-seven million, six hundred ninety-three thousand, two hundred eighty".