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4861140480 = 29345717197
BaseRepresentation
bin1001000011011111…
…10001111000000000
3110112210002112010000
410201233301320000
534423422443410
62122211040000
7231315004140
oct44157617000
913483075100
104861140480
112074a94879
12b37ba0000
135c61606b1
14341876920
151d6b77dc0
hex121bf1e00

4861140480 has 800 divisors, whose sum is σ = 21175805376. Its totient is φ = 1040449536.

The previous prime is 4861140467. The next prime is 4861140499. The reversal of 4861140480 is 840411684.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 24675742 + ... + 24675938.

Almost surely, 24861140480 is an apocalyptic number.

4861140480 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 4861140480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10587902688).

4861140480 is an abundant number, since it is smaller than the sum of its proper divisors (16314664896).

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

4861140480 is a wasteful number, since it uses less digits than its factorization.

4861140480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 4861140480 is about 69721.8794927389. The cubic root of 4861140480 is about 1693.9973394958.

The spelling of 4861140480 in words is "four billion, eight hundred sixty-one million, one hundred forty thousand, four hundred eighty".