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5148734976 = 29337211691
BaseRepresentation
bin1001100101110001…
…10111011000000000
3111021211020211121000
410302320313120000
541021034004401
62210523132000
7241406345100
oct46270673000
914254224530
105148734976
112202365880
12bb8374000
13640906a58
1436bb3b200
15202036186
hex132e37600

5148734976 has 480 divisors, whose sum is σ = 19368581760. Its totient is φ = 1335398400.

The previous prime is 5148734947. The next prime is 5148735013. The reversal of 5148734976 is 6794378415.

5148734976 is a `hidden beast` number, since 5 + 148 + 7 + 3 + 497 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 7450791 + ... + 7451481.

It is an arithmetic number, because the mean of its divisors is an integer number (40351212).

Almost surely, 25148734976 is an apocalyptic number.

5148734976 is a gapful number since it is divisible by the number (56) 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 5148734976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9684290880).

5148734976 is an abundant number, since it is smaller than the sum of its proper divisors (14219846784).

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

5148734976 is a wasteful number, since it uses less digits than its factorization.

5148734976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 743 (or 714 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The square root of 5148734976 is about 71754.6860908749. The cubic root of 5148734976 is about 1726.7660944287.

The spelling of 5148734976 in words is "five billion, one hundred forty-eight million, seven hundred thirty-four thousand, nine hundred seventy-six".