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4846752768 = 2103112131759
BaseRepresentation
bin1001000001110001…
…11001010000000000
3110111210000112212210
410200320321100000
534411232042033
62120534422120
7231051501354
oct44070712000
913453015783
104846752768
112067958100
12b33201940
135c3193960
1433d9ad464
151d5784d63
hex120e39400

4846752768 has 528 divisors, whose sum is σ = 16465740480. Its totient is φ = 1254359040.

The previous prime is 4846752761. The next prime is 4846752773. The reversal of 4846752768 is 8672576484.

It is a tau number, because it is divible by the number of its divisors (528).

Its product of digits (18063360) is a multiple of the sum of its prime divisors (105).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4846752761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82148323 + ... + 82148381.

Almost surely, 24846752768 is an apocalyptic number.

4846752768 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 4846752768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8232870240).

4846752768 is an abundant number, since it is smaller than the sum of its proper divisors (11618987712).

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

4846752768 is a wasteful number, since it uses less digits than its factorization.

4846752768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 105 counting only the distinct ones).

The product of its digits is 18063360, while the sum is 57.

The square root of 4846752768 is about 69618.6237152100. The cubic root of 4846752768 is about 1692.3244240397.

The spelling of 4846752768 in words is "four billion, eight hundred forty-six million, seven hundred fifty-two thousand, seven hundred sixty-eight".