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4928977872 = 2433713196599
BaseRepresentation
bin1001001011100101…
…00011101111010000
3110201111202000112000
410211302203233100
540043304242442
62133033034000
7233100422610
oct44562435720
913644660460
104928977872
1120aa309035
12b56855900
13607222a70
1434a894a40
151dcac7d4c
hex125ca3bd0

4928977872 has 320 divisors, whose sum is σ = 18332160000. Its totient is φ = 1231345152.

The previous prime is 4928977847. The next prime is 4928977883. The reversal of 4928977872 is 2787798294.

4928977872 is a `hidden beast` number, since 492 + 8 + 9 + 7 + 78 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 743629 + ... + 750227.

It is an arithmetic number, because the mean of its divisors is an integer number (57288000).

Almost surely, 24928977872 is an apocalyptic number.

4928977872 is a gapful number since it is divisible by the number (42) 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 4928977872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9166080000).

4928977872 is an abundant number, since it is smaller than the sum of its proper divisors (13403182128).

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

4928977872 is a wasteful number, since it uses less digits than its factorization.

4928977872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6655 (or 6643 counting only the distinct ones).

The product of its digits is 28449792, while the sum is 63.

The square root of 4928977872 is about 70206.6796822069. The cubic root of 4928977872 is about 1701.8408976183.

The spelling of 4928977872 in words is "four billion, nine hundred twenty-eight million, nine hundred seventy-seven thousand, eight hundred seventy-two".