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5341688352 = 25327211132647
BaseRepresentation
bin1001111100110001…
…11011001000100000
3111210021022212212100
410332120323020200
541414433011402
62242014530400
7246241413300
oct47630731040
914707285770
105341688352
1122a1275580
121050b06a00
13671894850
14389607600
15213e4c71c
hex13e63b220

5341688352 has 432 divisors, whose sum is σ = 20767586112. Its totient is φ = 1280240640.

The previous prime is 5341688351. The next prime is 5341688393. The reversal of 5341688352 is 2538861435.

5341688352 is a `hidden beast` number, since 534 + 1 + 6 + 88 + 35 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5341688298 and 5341688307.

It is not an unprimeable number, because it can be changed into a prime (5341688351) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2016693 + ... + 2019339.

It is an arithmetic number, because the mean of its divisors is an integer number (48073116).

Almost surely, 25341688352 is an apocalyptic number.

5341688352 is a gapful number since it is divisible by the number (52) 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 5341688352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10383793056).

5341688352 is an abundant number, since it is smaller than the sum of its proper divisors (15425897760).

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

5341688352 is a wasteful number, since it uses less digits than its factorization.

5341688352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2701 (or 2683 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 5341688352 is about 73086.8548509238. The cubic root of 5341688352 is about 1748.0728011054.

The spelling of 5341688352 in words is "five billion, three hundred forty-one million, six hundred eighty-eight thousand, three hundred fifty-two".