Search a number
-
+
5266537920 = 26335731532
BaseRepresentation
bin1001110011110100…
…01111110111000000
3111121000220211212000
410321322033313000
541241213203140
62230332104000
7244336555650
oct47172176700
914530824760
105266537920
112262906986
12102b905000
1365c141937
1437d644360
1520c555a30
hex139e8fdc0

5266537920 has 672 divisors, whose sum is σ = 22339645440. Its totient is φ = 1142968320.

The previous prime is 5266537919. The next prime is 5266537937. The reversal of 5266537920 is 297356625.

5266537920 is a `hidden beast` number, since 5 + 26 + 6 + 537 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 99368614 + ... + 99368666.

It is an arithmetic number, because the mean of its divisors is an integer number (33243520).

Almost surely, 25266537920 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 5266537920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11169822720).

5266537920 is an abundant number, since it is smaller than the sum of its proper divisors (17073107520).

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

5266537920 is a wasteful number, since it uses less digits than its factorization.

5266537920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 101 counting only the distinct ones).

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

The square root of 5266537920 is about 72570.9164886320. The cubic root of 5266537920 is about 1739.8363698683.

The spelling of 5266537920 in words is "five billion, two hundred sixty-six million, five hundred thirty-seven thousand, nine hundred twenty".