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5264541300 = 223521723371213
BaseRepresentation
bin1001110011100101…
…01000011001110100
3111120220011102000010
410321302220121310
541240210310200
62230221220220
7244313601624
oct47162503164
914526142003
105264541300
112261772887
12102b101670
1365b8c2bc5
1437d284884
1520c2ae150
hex139ca8674

5264541300 has 288 divisors, whose sum is σ = 17298392832. Its totient is φ = 1228677120.

The previous prime is 5264541229. The next prime is 5264541307. The reversal of 5264541300 is 31454625.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5264541307) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4339494 + ... + 4340706.

It is an arithmetic number, because the mean of its divisors is an integer number (60063864).

Almost surely, 25264541300 is an apocalyptic number.

5264541300 is a gapful number since it is divisible by the number (50) 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 5264541300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8649196416).

5264541300 is an abundant number, since it is smaller than the sum of its proper divisors (12033851532).

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

5264541300 is a wasteful number, since it uses less digits than its factorization.

5264541300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1307 (or 1300 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 5264541300 is about 72557.1588473529. The cubic root of 5264541300 is about 1739.6164764439.

Adding to 5264541300 its reverse (31454625), we get a palindrome (5295995925).

The spelling of 5264541300 in words is "five billion, two hundred sixty-four million, five hundred forty-one thousand, three hundred".