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4896859968 = 26337111319149
BaseRepresentation
bin1001000111110000…
…00010011101000000
3110122021022021001000
410203320002131000
540012044004333
62125524412000
7232230423450
oct44370023500
913567267030
104896859968
112093171410
12b47b47000
13600688aa0
143464d3d60
151d9d81713
hex123e02740

4896859968 has 896 divisors, whose sum is σ = 20482560000. Its totient is φ = 1104814080.

The previous prime is 4896859967. The next prime is 4896860071. The reversal of 4896859968 is 8699586984.

4896859968 is a `hidden beast` number, since 489 + 6 + 8 + 59 + 96 + 8 = 666.

It is a super-2 number, since 2×48968599682 = 47958475092401922048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 4896859896 and 4896859905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4896859967) 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, 32864758 + ... + 32864906.

It is an arithmetic number, because the mean of its divisors is an integer number (22860000).

Almost surely, 24896859968 is an apocalyptic number.

4896859968 is a gapful number since it is divisible by the number (48) 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 4896859968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10241280000).

4896859968 is an abundant number, since it is smaller than the sum of its proper divisors (15585700032).

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

4896859968 is a wasteful number, since it uses less digits than its factorization.

4896859968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 204 counting only the distinct ones).

The product of its digits is 268738560, while the sum is 72.

The square root of 4896859968 is about 69977.5676056263. The cubic root of 4896859968 is about 1698.1363623335.

The spelling of 4896859968 in words is "four billion, eight hundred ninety-six million, eight hundred fifty-nine thousand, nine hundred sixty-eight".