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5006117340 = 22325721929873
BaseRepresentation
bin1001010100110001…
…10100100111011100
3110220212220002222100
410222120310213130
540223031223330
62144430245100
7235025203200
oct45230644734
913825802870
105006117340
112139906064
12b78656790
1361a1c1113
14356c14b00
151e4764060
hex12a6349dc

5006117340 has 216 divisors, whose sum is σ = 18594772560. Its totient is φ = 1083995136.

The previous prime is 5006117327. The next prime is 5006117357. The reversal of 5006117340 is 437116005.

5006117340 is a `hidden beast` number, since 5 + 0 + 0 + 611 + 7 + 3 + 40 = 666.

It is a super-2 number, since 2×50061173402 = 50122421643697351200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 152644 + ... + 182516.

It is an arithmetic number, because the mean of its divisors is an integer number (86086910).

Almost surely, 25006117340 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 5006117340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9297386280).

5006117340 is an abundant number, since it is smaller than the sum of its proper divisors (13588655220).

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

5006117340 is a wasteful number, since it uses less digits than its factorization.

5006117340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29921 (or 29909 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 5006117340 is about 70753.9210220889. The cubic root of 5006117340 is about 1710.6730294183.

The spelling of 5006117340 in words is "five billion, six million, one hundred seventeen thousand, three hundred forty".