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9046130660 = 22571929117269
BaseRepresentation
bin10000110110011000…
…01111111111100100
3212100102220001101022
420123030033333210
5122011302140120
64053345550312
7440112561530
oct103314177744
925312801338
109046130660
113922339946
121905645398
13b121b2448
1461b5c2bc0
1537e290025
hex21b30ffe4

9046130660 has 96 divisors (see below), whose sum is σ = 23641632000. Its totient is φ = 2836947456.

The previous prime is 9046130659. The next prime is 9046130669. The reversal of 9046130660 is 660316409.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 9046130660.

It is not an unprimeable number, because it can be changed into a prime (9046130669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18506 + ... + 135774.

It is an arithmetic number, because the mean of its divisors is an integer number (246267000).

Almost surely, 29046130660 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9046130660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11820816000).

9046130660 is an abundant number, since it is smaller than the sum of its proper divisors (14595501340).

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

9046130660 is a wasteful number, since it uses less digits than its factorization.

9046130660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117333 (or 117331 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 35.

The square root of 9046130660 is about 95111.1489784452. The cubic root of 9046130660 is about 2083.6316808495.

It can be divided in two parts, 90461 and 30660, that added together give a palindrome (121121).

The spelling of 9046130660 in words is "nine billion, forty-six million, one hundred thirty thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 14 19 20 28 29 35 38 58 70 76 95 116 133 140 145 190 203 266 290 380 406 532 551 580 665 812 1015 1102 1330 2030 2204 2660 2755 3857 4060 5510 7714 11020 15428 19285 38570 77140 117269 234538 469076 586345 820883 1172690 1641766 2228111 2345380 3283532 3400801 4104415 4456222 6801602 8208830 8912444 11140555 13603204 15596777 16417660 17004005 22281110 23805607 31193554 34008010 44562220 47611214 62387108 64615219 68016020 77983885 95222428 119028035 129230438 155967770 238056070 258460876 311935540 323076095 452306533 476112140 646152190 904613066 1292304380 1809226132 2261532665 4523065330 9046130660