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5347251936 = 2535133313
BaseRepresentation
bin1001111101011100…
…01001011011100000
3111210122210112200000
410332232021123200
541422344030221
62242334100000
7246336614535
oct47656113340
914718715600
105347251936
1122a4425584
12105294a600
13672a92000
1438a254d8c
1521469ae26
hex13eb896e0

5347251936 has 288 divisors, whose sum is σ = 17137542240. Its totient is φ = 1640051712.

The previous prime is 5347251929. The next prime is 5347251979. The reversal of 5347251936 is 6391527435.

5347251936 is a `hidden beast` number, since 5 + 34 + 72 + 519 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 5347251891 and 5347251900.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17083716 + ... + 17084028.

It is an arithmetic number, because the mean of its divisors is an integer number (59505355).

Almost surely, 25347251936 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 5347251936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8568771120).

5347251936 is an abundant number, since it is smaller than the sum of its proper divisors (11790290304).

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

5347251936 is an equidigital number, since it uses as much as digits as its factorization.

5347251936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 331 counting only the distinct ones).

The product of its digits is 680400, while the sum is 45.

The square root of 5347251936 is about 73124.9063999401. The cubic root of 5347251936 is about 1748.6794866488.

The spelling of 5347251936 in words is "five billion, three hundred forty-seven million, two hundred fifty-one thousand, nine hundred thirty-six".