[go: up one dir, main page]

Search a number
-
+
5303263680 = 26325111379163
BaseRepresentation
bin1001111000001100…
…10110000111000000
3111200121000201010100
410330012112013000
541330113414210
62234123202400
7245263666101
oct47406260700
914617021110
105303263680
112281610550
121040076400
13666930060
143844843a8
152108ac5c0
hex13c1961c0

5303263680 has 672 divisors, whose sum is σ = 21834408960. Its totient is φ = 1164533760.

The previous prime is 5303263643. The next prime is 5303263703. The reversal of 5303263680 is 863623035.

It is a happy number.

5303263680 is a `hidden beast` number, since 530 + 3 + 2 + 63 + 68 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32535279 + ... + 32535441.

It is an arithmetic number, because the mean of its divisors is an integer number (32491680).

Almost surely, 25303263680 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 5303263680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10917204480).

5303263680 is an abundant number, since it is smaller than the sum of its proper divisors (16531145280).

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

5303263680 is a wasteful number, since it uses less digits than its factorization.

5303263680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 5303263680 is about 72823.5104894017. The cubic root of 5303263680 is about 1743.8712064359.

The spelling of 5303263680 in words is "five billion, three hundred three million, two hundred sixty-three thousand, six hundred eighty".