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5311268820 = 223451113101227
BaseRepresentation
bin1001111001001001…
…11000011111010100
3111201011002102010000
410330210320133110
541334141100240
62235010531300
7245422016514
oct47444703724
914634072100
105311268820
112286088970
121042896b30
136684a3920
14385569844
1521143e430
hex13c9387d4

5311268820 has 480 divisors, whose sum is σ = 19855414656. Its totient is φ = 1171584000.

The previous prime is 5311268801. The next prime is 5311268821. The reversal of 5311268820 is 288621135.

It is a happy number.

5311268820 is a `hidden beast` number, since 5 + 311 + 268 + 82 + 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 not an unprimeable number, because it can be changed into a prime (5311268821) 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 159 ways as a sum of consecutive naturals, for example, 23397547 + ... + 23397773.

Almost surely, 25311268820 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 5311268820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9927707328).

5311268820 is an abundant number, since it is smaller than the sum of its proper divisors (14544145836).

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

5311268820 is a wasteful number, since it uses less digits than its factorization.

5311268820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 5311268820 is about 72878.4523710541. The cubic root of 5311268820 is about 1744.7482082108.

Adding to 5311268820 its reverse (288621135), we get a palindrome (5599889955).

The spelling of 5311268820 in words is "five billion, three hundred eleven million, two hundred sixty-eight thousand, eight hundred twenty".