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4969123920 = 24325311271753
BaseRepresentation
bin1001010000010111…
…01101000001010000
3110211022021122112200
410220023231001100
540134043431140
62141025323200
7234065566515
oct45013550120
913738248480
104969123920
11211aa39392
12b68196500
1361263ac17
14351d4530c
151e13a8030
hex1282ed050

4969123920 has 240 divisors, whose sum is σ = 17371840512. Its totient is φ = 1271531520.

The previous prime is 4969123909. The next prime is 4969123921. The reversal of 4969123920 is 293219694.

It is a happy number.

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 (4969123921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2833764 + ... + 2835516.

Almost surely, 24969123920 is an apocalyptic number.

4969123920 is a gapful number since it is divisible by the number (40) 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 4969123920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8685920256).

4969123920 is an abundant number, since it is smaller than the sum of its proper divisors (12402716592).

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

4969123920 is a wasteful number, since it uses less digits than its factorization.

4969123920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1930 (or 1921 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 4969123920 is about 70492.0131646132. The cubic root of 4969123920 is about 1706.4488528857.

The spelling of 4969123920 in words is "four billion, nine hundred sixty-nine million, one hundred twenty-three thousand, nine hundred twenty".