Search a number
-
+
5336728740 = 22345717193147
BaseRepresentation
bin1001111100001100…
…00000010010100100
3111202220222220120000
410332012000102210
541412200304430
62241320341300
7246151305630
oct47606002244
914686886500
105336728740
112299498322
12104b314830
13670849275
14388ab5dc0
152137bce60
hex13e1804a4

5336728740 has 960 divisors, whose sum is σ = 22481141760. Its totient is φ = 1030164480.

The previous prime is 5336728717. The next prime is 5336728843. The reversal of 5336728740 is 478276335.

5336728740 is a `hidden beast` number, since 5 + 3 + 367 + 287 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 113547397 + ... + 113547443.

It is an arithmetic number, because the mean of its divisors is an integer number (23417856).

Almost surely, 25336728740 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 5336728740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11240570880).

5336728740 is an abundant number, since it is smaller than the sum of its proper divisors (17144413020).

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

5336728740 is a wasteful number, since it uses less digits than its factorization.

5336728740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The square root of 5336728740 is about 73052.9173955428. The cubic root of 5336728740 is about 1747.5316209349.

The spelling of 5336728740 in words is "five billion, three hundred thirty-six million, seven hundred twenty-eight thousand, seven hundred forty".