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4846832640 = 210345132931
BaseRepresentation
bin1001000001110010…
…01100110000000000
3110111210011121110000
410200321030300000
534411242121030
62120540240000
7231052253256
oct44071146000
913453147400
104846832640
112067a02111
12b33240000
135c31c1110
1433d9d05d6
151d579d860
hex120e4cc00

4846832640 has 880 divisors, whose sum is σ = 19973479680. Its totient is φ = 1114767360.

The previous prime is 4846832633. The next prime is 4846832687. The reversal of 4846832640 is 462386484.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 156349425 + ... + 156349455.

It is an arithmetic number, because the mean of its divisors is an integer number (22697136).

Almost surely, 24846832640 is an apocalyptic number.

4846832640 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 4846832640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9986739840).

4846832640 is an abundant number, since it is smaller than the sum of its proper divisors (15126647040).

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

4846832640 is a wasteful number, since it uses less digits than its factorization.

4846832640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The square root of 4846832640 is about 69619.1973524544. The cubic root of 4846832640 is about 1692.3337202015. Note that the first 3 decimals are identical.

The spelling of 4846832640 in words is "four billion, eight hundred forty-six million, eight hundred thirty-two thousand, six hundred forty".