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5020614144 = 29337132307
BaseRepresentation
bin1001010110100000…
…00111111000000000
3110221220011121212000
410223100013320000
540240234123034
62150105104000
7235262342010
oct45320077000
913856147760
105020614144
112147007797
12b81488000
136201c8700
14358b09c40
151e5b79599
hex12b407e00

5020614144 has 480 divisors, whose sum is σ = 18451319040. Its totient is φ = 1319804928.

The previous prime is 5020614139. The next prime is 5020614227. The reversal of 5020614144 is 4414160205.

5020614144 is a `hidden beast` number, since 5 + 0 + 2 + 0 + 614 + 1 + 44 = 666.

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 47 ways as a sum of consecutive naturals, for example, 16353639 + ... + 16353945.

It is an arithmetic number, because the mean of its divisors is an integer number (38440248).

Almost surely, 25020614144 is an apocalyptic number.

5020614144 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 5020614144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9225659520).

5020614144 is an abundant number, since it is smaller than the sum of its proper divisors (13430704896).

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

5020614144 is a wasteful number, since it uses less digits than its factorization.

5020614144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 5020614144 is about 70856.2921976588. The cubic root of 5020614144 is about 1712.3227038927.

Adding to 5020614144 its reverse (4414160205), we get a palindrome (9434774349).

The spelling of 5020614144 in words is "five billion, twenty million, six hundred fourteen thousand, one hundred forty-four".