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4872945960 = 23335171961229
BaseRepresentation
bin1001000100111001…
…10100000100101000
3110120121022022012000
410202130310010220
534434433232320
62123312051000
7231520233351
oct44234640450
913517268160
104872945960
112080718473
12b3bb33a60
135c8734c9c
1434326ad28
151d7c0ac90
hex122734128

4872945960 has 512 divisors, whose sum is σ = 18480960000. Its totient is φ = 1134673920.

The previous prime is 4872945953. The next prime is 4872945967. The reversal of 4872945960 is 695492784.

4872945960 is a `hidden beast` number, since 48 + 7 + 2 + 9 + 4 + 596 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4872945953) and next prime (4872945967).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4872945897 and 4872945906.

It is not an unprimeable number, because it can be changed into a prime (4872945967) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21279126 + ... + 21279354.

It is an arithmetic number, because the mean of its divisors is an integer number (36095625).

Almost surely, 24872945960 is an apocalyptic number.

4872945960 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 4872945960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9240480000).

4872945960 is an abundant number, since it is smaller than the sum of its proper divisors (13608014040).

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

4872945960 is a wasteful number, since it uses less digits than its factorization.

4872945960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The square root of 4872945960 is about 69806.4893831512. The cubic root of 4872945960 is about 1695.3675450116.

The spelling of 4872945960 in words is "four billion, eight hundred seventy-two million, nine hundred forty-five thousand, nine hundred sixty".