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5006367324 = 2234729103739
BaseRepresentation
bin1001010100110011…
…10001101001011100
3110220220100210220000
410222121301221130
540223112223244
62144435454300
7235030264050
oct45231615134
913826323800
105006367324
112139a66962
12b78757390
1361a27ab3a
14356c7bc60
151e47b3169
hex12a671a5c

5006367324 has 240 divisors, whose sum is σ = 15644428800. Its totient is φ = 1365807744.

The previous prime is 5006367319. The next prime is 5006367329. The reversal of 5006367324 is 4237636005.

5006367324 is a `hidden beast` number, since 500 + 63 + 6 + 73 + 24 = 666.

It is an interprime number because it is at equal distance from previous prime (5006367319) and next prime (5006367329).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5006367329) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6774147 + ... + 6774885.

It is an arithmetic number, because the mean of its divisors is an integer number (65185120).

Almost surely, 25006367324 is an apocalyptic number.

5006367324 is a gapful number since it is divisible by the number (54) 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 5006367324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7822214400).

5006367324 is an abundant number, since it is smaller than the sum of its proper divisors (10638061476).

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

5006367324 is a wasteful number, since it uses less digits than its factorization.

5006367324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894 (or 883 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 5006367324 is about 70755.6875735089. The cubic root of 5006367324 is about 1710.7015034991.

The spelling of 5006367324 in words is "five billion, six million, three hundred sixty-seven thousand, three hundred twenty-four".