Search a number
-
+
4846495680 = 263451319757
BaseRepresentation
bin1001000001101111…
…11010011111000000
3110111202112111020000
410200313322133000
534411200330210
62120525120000
7231046351005
oct44067723700
913452474200
104846495680
1120677a1a34
12b330b9000
135c3103930
1433d9438ac
151d5733ac0
hex120dfa7c0

4846495680 has 560 divisors, whose sum is σ = 19568952480. Its totient is φ = 1128701952.

The previous prime is 4846495679. The next prime is 4846495691. The reversal of 4846495680 is 865946484.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6401862 + ... + 6402618.

It is an arithmetic number, because the mean of its divisors is an integer number (34944558).

Almost surely, 24846495680 is an apocalyptic number.

4846495680 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 4846495680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9784476240).

4846495680 is an abundant number, since it is smaller than the sum of its proper divisors (14722456800).

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

4846495680 is a wasteful number, since it uses less digits than its factorization.

4846495680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The square root of 4846495680 is about 69616.7772882371. Note that the first 3 decimals coincide. The cubic root of 4846495680 is about 1692.2945013254.

The spelling of 4846495680 in words is "four billion, eight hundred forty-six million, four hundred ninety-five thousand, six hundred eighty".