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23038849782 = 232136171127179
BaseRepresentation
bin10101011101001110…
…001111001011110110
32012110121122211110200
4111131032033023312
5334140421143112
614330042301330
71443631664154
oct253516171366
965417584420
1023038849782
119852914923
12456b7b7846
1322321422c0
141187b223d4
158ec935cdc
hex55d38f2f6

23038849782 has 192 divisors, whose sum is σ = 56156405760. Its totient is φ = 6782227200.

The previous prime is 23038849781. The next prime is 23038849807. The reversal of 23038849782 is 28794883032.

It is a super-2 number, since 2×230388497822 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23038849781) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 128708569 + ... + 128708747.

It is an arithmetic number, because the mean of its divisors is an integer number (292481280).

Almost surely, 223038849782 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23038849782, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28078202880).

23038849782 is an abundant number, since it is smaller than the sum of its proper divisors (33117555978).

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

23038849782 is a wasteful number, since it uses less digits than its factorization.

23038849782 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 23038849782 in words is "twenty-three billion, thirty-eight million, eight hundred forty-nine thousand, seven hundred eighty-two".