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4861690848 = 253372953523
BaseRepresentation
bin1001000011100011…
…11000001111100000
3110112211010111002000
410201301320033200
534424043101343
62122230524000
7231322455540
oct44161701740
913484114060
104861690848
112075330323
12b38206600
135c62c4061
1434197b320
151d6c35ed3
hex121c783e0

4861690848 has 384 divisors, whose sum is σ = 17113420800. Its totient is φ = 1313335296.

The previous prime is 4861690843. The next prime is 4861690859. The reversal of 4861690848 is 8480961684.

It is a super-3 number, since 3×48616908483 (a number of 30 digits) contains 333 as substring.

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 = 4861690794 and 4861690803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4861690843) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9295515 + ... + 9296037.

It is an arithmetic number, because the mean of its divisors is an integer number (44566200).

Almost surely, 24861690848 is an apocalyptic number.

4861690848 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 4861690848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8556710400).

4861690848 is an abundant number, since it is smaller than the sum of its proper divisors (12251729952).

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

4861690848 is a wasteful number, since it uses less digits than its factorization.

4861690848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The square root of 4861690848 is about 69725.8262625837. The cubic root of 4861690848 is about 1694.0612673435.

The spelling of 4861690848 in words is "four billion, eight hundred sixty-one million, six hundred ninety thousand, eight hundred forty-eight".