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5054000640 = 293513223227
BaseRepresentation
bin1001011010011110…
…11110111000000000
3111001012222211111220
410231033132320000
540322311010030
62153300435040
7236146203513
oct45517367000
914035884456
105054000640
112163940537
12b906a8a80
136270b7c30
1435d31ad7a
151e8a71a10
hex12d3dee00

5054000640 has 320 divisors, whose sum is σ = 17554876416. Its totient is φ = 1233027072.

The previous prime is 5054000639. The next prime is 5054000641. The reversal of 5054000640 is 460004505.

It is an interprime number because it is at equal distance from previous prime (5054000639) and next prime (5054000641).

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 5054000640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5054000641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22264207 + ... + 22264433.

Almost surely, 25054000640 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 5054000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8777438208).

5054000640 is an abundant number, since it is smaller than the sum of its proper divisors (12500875776).

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

5054000640 is a wasteful number, since it uses less digits than its factorization.

5054000640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 5054000640 is about 71091.4948499467. The cubic root of 5054000640 is about 1716.1099032527.

The spelling of 5054000640 in words is "five billion, fifty-four million, six hundred forty", and thus it is an aban number.