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23065144050 = 235213192327067
BaseRepresentation
bin10101011110110010…
…100010101011110010
32012112110010201102110
4111132302202223302
5334214134102200
614332422030150
71444401326634
oct253662425362
965473121373
1023065144050
119866744123
124578578356
13223771a640
14118b408a54
158eedcbb50
hex55eca2af2

23065144050 has 192 divisors, whose sum is σ = 67665669120. Its totient is φ = 5144705280.

The previous prime is 23065144019. The next prime is 23065144061. The reversal of 23065144050 is 5044156032.

23065144050 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 23065143999 and 23065144017.

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 95 ways as a sum of consecutive naturals, for example, 838617 + ... + 865683.

It is an arithmetic number, because the mean of its divisors is an integer number (352425360).

Almost surely, 223065144050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23065144050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33832834560).

23065144050 is an abundant number, since it is smaller than the sum of its proper divisors (44600525070).

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

23065144050 is a wasteful number, since it uses less digits than its factorization.

23065144050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27137 (or 27132 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 23065144050 in words is "twenty-three billion, sixty-five million, one hundred forty-four thousand, fifty".