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23052549780 = 2235513317127
BaseRepresentation
bin10101011110000010…
…011111111010010100
32012111120102212100000
4111132002133322110
5334202423043110
614331252051300
71444156303641
oct253602377224
965446385300
1023052549780
11985a621937
124574303b30
132234c2b000
14118988adc8
158edc401c0
hex55e09fe94

23052549780 has 576 divisors, whose sum is σ = 83832053760. Its totient is φ = 5298628608.

The previous prime is 23052549713. The next prime is 23052549803. The reversal of 23052549780 is 8794525032.

23052549780 is a `hidden beast` number, since 2 + 3 + 0 + 525 + 49 + 7 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 181516077 + ... + 181516203.

It is an arithmetic number, because the mean of its divisors is an integer number (145541760).

Almost surely, 223052549780 is an apocalyptic number.

23052549780 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 23052549780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41916026880).

23052549780 is an abundant number, since it is smaller than the sum of its proper divisors (60779503980).

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

23052549780 is a wasteful number, since it uses less digits than its factorization.

23052549780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 23052549780 in words is "twenty-three billion, fifty-two million, five hundred forty-nine thousand, seven hundred eighty".