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11304411990 = 2352935336809
BaseRepresentation
bin10101000011100101…
…11010001101010110
31002011211020121222120
422201302322031112
5141122412140430
65105420440410
7550063626234
oct124162721526
932154217876
1011304411990
114881056053
1222359a9106
1310b200b6a1
147934b1954
15462670610
hex2a1cba356

11304411990 has 64 divisors (see below), whose sum is σ = 28146398400. Its totient is φ = 2902237184.

The previous prime is 11304411959. The next prime is 11304412001. The reversal of 11304411990 is 9911440311.

11304411990 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×113044119903 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 288706 + ... + 325514.

It is an arithmetic number, because the mean of its divisors is an integer number (439787475).

Almost surely, 211304411990 is an apocalyptic number.

11304411990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11304411990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14073199200).

11304411990 is an abundant number, since it is smaller than the sum of its proper divisors (16841986410).

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

11304411990 is a wasteful number, since it uses less digits than its factorization.

11304411990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37201.

The product of its (nonzero) digits is 3888, while the sum is 33.

The spelling of 11304411990 in words is "eleven billion, three hundred four million, four hundred eleven thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 145 174 290 353 435 706 870 1059 1765 2118 3530 5295 10237 10590 20474 30711 36809 51185 61422 73618 102370 110427 153555 184045 220854 307110 368090 552135 1067461 1104270 2134922 3202383 5337305 6404766 10674610 12993577 16011915 25987154 32023830 38980731 64967885 77961462 129935770 194903655 376813733 389807310 753627466 1130441199 1884068665 2260882398 3768137330 5652205995 11304411990