Search a number
-
+
9135802242 = 235716091669
BaseRepresentation
bin10001000001000100…
…10100011110000010
3212120200121211200000
420200202110132002
5122202231132432
64110311540430
7442252015650
oct104042243602
925520554600
109135802242
113968a16496
12192b68a716
13b2794aa58
14629485dd0
153870a457c
hex220894782

9135802242 has 96 divisors (see below), whose sum is σ = 23488483200. Its totient is φ = 2607043968.

The previous prime is 9135802223. The next prime is 9135802297. The reversal of 9135802242 is 2422085319.

It is a happy number.

9135802242 is a `hidden beast` number, since 9 + 13 + 580 + 22 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 9135802197 and 9135802206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5472984 + ... + 5474652.

It is an arithmetic number, because the mean of its divisors is an integer number (244671700).

Almost surely, 29135802242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9135802242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11744241600).

9135802242 is an abundant number, since it is smaller than the sum of its proper divisors (14352680958).

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

9135802242 is a wasteful number, since it uses less digits than its factorization.

9135802242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3302 (or 3290 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 9135802242 is about 95581.3906678491. The cubic root of 9135802242 is about 2090.4938617576.

The spelling of 9135802242 in words is "nine billion, one hundred thirty-five million, eight hundred two thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 243 378 486 567 1134 1609 1669 1701 3218 3338 3402 4827 5007 9654 10014 11263 11683 14481 15021 22526 23366 28962 30042 33789 35049 43443 45063 67578 70098 86886 90126 101367 105147 130329 135189 202734 210294 260658 270378 304101 315441 390987 405567 608202 630882 781974 811134 912303 946323 1824606 1892646 2685421 2736909 2838969 5370842 5473818 5677938 8056263 16112526 18797947 24168789 37595894 48337578 56393841 72506367 112787682 145012734 169181523 217519101 338363046 435038202 507544569 652557303 1015089138 1305114606 1522633707 3045267414 4567901121 9135802242