Search a number
-
+
5347347840 = 27345196189
BaseRepresentation
bin1001111101011101…
…00000110110000000
3111210122222102020000
410332232200312000
541422410112330
62242340120000
7246340464252
oct47656406600
914718872200
105347347840
1122a449063a
121052996000
13672ac6863
1438a27bcd2
152146b9560
hex13eba0d80

5347347840 has 640 divisors, whose sum is σ = 20660508000. Its totient is φ = 1313832960.

The previous prime is 5347347727. The next prime is 5347347847. The reversal of 5347347840 is 487437435.

5347347840 is a `hidden beast` number, since 534 + 7 + 3 + 4 + 78 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5347347847) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 60082516 + ... + 60082604.

Almost surely, 25347347840 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 5347347840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10330254000).

5347347840 is an abundant number, since it is smaller than the sum of its proper divisors (15313160160).

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

5347347840 is a wasteful number, since it uses less digits than its factorization.

5347347840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The square root of 5347347840 is about 73125.5621516854. The cubic root of 5347347840 is about 1748.6899408882.

The spelling of 5347347840 in words is "five billion, three hundred forty-seven million, three hundred forty-seven thousand, eight hundred forty".