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10364201166 = 23112333120627
BaseRepresentation
bin10011010011100000…
…10010100011001110
3222202022001222012110
421221300102203032
5132211213414131
64432232444450
7514556153634
oct115160224316
928668058173
1010364201166
114439359810
122012b49726
13c922a6517
14704689354
15409d4e646
hex269c128ce

10364201166 has 64 divisors (see below), whose sum is σ = 23668402176. Its totient is φ = 2994895200.

The previous prime is 10364201117. The next prime is 10364201203. The reversal of 10364201166 is 66110246301.

It is a super-3 number, since 3×103642011663 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 492145 + ... + 512771.

It is an arithmetic number, because the mean of its divisors is an integer number (369818784).

Almost surely, 210364201166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10364201166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11834201088).

10364201166 is an abundant number, since it is smaller than the sum of its proper divisors (13304201010).

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

10364201166 is a wasteful number, since it uses less digits than its factorization.

10364201166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20997.

The product of its (nonzero) digits is 5184, while the sum is 30.

Adding to 10364201166 its reverse (66110246301), we get a palindrome (76474447467).

The spelling of 10364201166 in words is "ten billion, three hundred sixty-four million, two hundred one thousand, one hundred sixty-six".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 138 253 331 506 662 759 993 1518 1986 3641 7282 7613 10923 15226 20627 21846 22839 41254 45678 61881 83743 123762 167486 226897 251229 453794 474421 502458 680691 948842 1361382 1423263 2846526 5218631 6827537 10437262 13655074 15655893 20482611 31311786 40965222 75102907 150205814 157033351 225308721 314066702 450617442 471100053 942200106 1727366861 3454733722 5182100583 10364201166