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5913098100 = 2232527131731137
BaseRepresentation
bin1011000000111001…
…01011011101110100
3120021002112111200100
411200130223131310
544102223114400
62414430114100
7266350335030
oct54034533564
916232474610
105913098100
112564876138
12119034b930
13733090020
1440146b1c0
152491be100
hex16072b774

5913098100 has 864 divisors, whose sum is σ = 25114392576. Its totient is φ = 1128038400.

The previous prime is 5913098089. The next prime is 5913098101. The reversal of 5913098100 is 18903195.

It is a happy number.

It is a super-2 number, since 2×59130981002 = 69929458280447220000, which contains 22 as substring.

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 (5913098101) 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 287 ways as a sum of consecutive naturals, for example, 43161232 + ... + 43161368.

It is an arithmetic number, because the mean of its divisors is an integer number (29067584).

Almost surely, 25913098100 is an apocalyptic number.

5913098100 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 5913098100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12557196288).

5913098100 is an abundant number, since it is smaller than the sum of its proper divisors (19201294476).

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

5913098100 is a wasteful number, since it uses less digits than its factorization.

5913098100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The square root of 5913098100 is about 76896.6715794643. The cubic root of 5913098100 is about 1808.3050482007.

The spelling of 5913098100 in words is "five billion, nine hundred thirteen million, ninety-eight thousand, one hundred".