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5238148608 = 293372111937
BaseRepresentation
bin1001110000011011…
…11100111000000000
3111112001111112001000
410320031330320000
541211431223413
62223435412000
7243543346200
oct47015747000
914461445030
105238148608
112248886640
1210222b4000
136562b1b24
14379974400
15209ce9073
hex13837ce00

5238148608 has 960 divisors, whose sum is σ = 21271852800. Its totient is φ = 1254113280.

The previous prime is 5238148549. The next prime is 5238148609. The reversal of 5238148608 is 8068418325.

5238148608 is a `hidden beast` number, since 5 + 2 + 38 + 1 + 4 + 8 + 608 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5238148609) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 141571566 + ... + 141571602.

It is an arithmetic number, because the mean of its divisors is an integer number (22158180).

Almost surely, 25238148608 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 5238148608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10635926400).

5238148608 is an abundant number, since it is smaller than the sum of its proper divisors (16033704192).

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

5238148608 is a wasteful number, since it uses less digits than its factorization.

5238148608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 5238148608 is about 72375.0551502381. The cubic root of 5238148608 is about 1736.7045354005.

The spelling of 5238148608 in words is "five billion, two hundred thirty-eight million, one hundred forty-eight thousand, six hundred eight".