Search a number
-
+
5357411136 = 2632711199607
BaseRepresentation
bin1001111110101001…
…11001101101000000
3111211100220200110200
410333110321231000
541432444124021
62243335525200
7246522146310
oct47724715500
914740820420
105357411136
1122aa134310
121056229800
13674c0b17c
1438b73b440
15215506126
hex13f539b40

5357411136 has 336 divisors, whose sum is σ = 19273113600. Its totient is φ = 1382261760.

The previous prime is 5357411131. The next prime is 5357411153. The reversal of 5357411136 is 6311147535.

5357411136 is a `hidden beast` number, since 53 + 574 + 1 + 1 + 1 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 5357411136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5357411131) by changing a digit.

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, 8825745 + ... + 8826351.

Almost surely, 25357411136 is an apocalyptic number.

5357411136 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 5357411136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9636556800).

5357411136 is an abundant number, since it is smaller than the sum of its proper divisors (13915702464).

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

5357411136 is a wasteful number, since it uses less digits than its factorization.

5357411136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842 (or 829 counting only the distinct ones).

The product of its digits is 37800, while the sum is 36.

The square root of 5357411136 is about 73194.3381416896. The cubic root of 5357411136 is about 1749.7862199809.

The spelling of 5357411136 in words is "five billion, three hundred fifty-seven million, four hundred eleven thousand, one hundred thirty-six".