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10604311290 = 2335167235181
BaseRepresentation
bin10011110000001000…
…01111001011111010
31000101000212211101000
421320010033023322
5133204200430130
64512131105430
7523533105306
oct117004171372
930330784330
1010604311290
114551948031
12207b442276
13cccc65511
1472850cd06
15420e7d260
hex27810f2fa

10604311290 has 64 divisors (see below), whose sum is σ = 28447614720. Its totient is φ = 2810871360.

The previous prime is 10604311279. The next prime is 10604311307. The reversal of 10604311290 is 9211340601.

10604311290 is a `hidden beast` number, since 1 + 0 + 60 + 4 + 311 + 290 = 666.

10604311290 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-2 number, since 2×106043112902 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a nialpdrome in base 13.

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, 72501 + ... + 162680.

It is an arithmetic number, because the mean of its divisors is an integer number (444493980).

Almost surely, 210604311290 is an apocalyptic number.

10604311290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10604311290 is an abundant number, since it is smaller than the sum of its proper divisors (17843303430).

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

10604311290 is a wasteful number, since it uses less digits than its factorization.

10604311290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235364 (or 235358 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

Adding to 10604311290 its reverse (9211340601), we get a palindrome (19815651891).

The spelling of 10604311290 in words is "ten billion, six hundred four million, three hundred eleven thousand, two hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 167 270 334 501 835 1002 1503 1670 2505 3006 4509 5010 7515 9018 15030 22545 45090 235181 470362 705543 1175905 1411086 2116629 2351810 3527715 4233258 6349887 7055430 10583145 12699774 21166290 31749435 39275227 63498870 78550454 117825681 196376135 235651362 353477043 392752270 589128405 706954086 1060431129 1178256810 1767385215 2120862258 3534770430 5302155645 10604311290