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5010474240 = 283351131283
BaseRepresentation
bin1001010101010010…
…11100010100000000
3110221012002110112000
410222221130110000
540230140133430
62145103504000
7235110220422
oct45251342400
913835073460
105010474240
112141311502
12b79bb8000
1361b088275
1435762a812
151e4d24e60
hex12aa5c500

5010474240 has 288 divisors, whose sum is σ = 17951552640. Its totient is φ = 1323270144.

The previous prime is 5010474239. The next prime is 5010474257. The reversal of 5010474240 is 424740105.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3904639 + ... + 3905921.

It is an arithmetic number, because the mean of its divisors is an integer number (62331780).

Almost surely, 25010474240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5010474240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8975776320).

5010474240 is an abundant number, since it is smaller than the sum of its proper divisors (12941078400).

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

5010474240 is a wasteful number, since it uses less digits than its factorization.

5010474240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1426 (or 1406 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 5010474240 is about 70784.7034323094. The cubic root of 5010474240 is about 1711.1691604277.

The spelling of 5010474240 in words is "five billion, ten million, four hundred seventy-four thousand, two hundred forty".