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1116308358 = 2331123101809
BaseRepresentation
bin100001010001001…
…1000001110000110
32212210112100012000
41002202120032012
54241233331413
6302434210130
736443315214
oct10242301606
92783470160
101116308358
11523143aa0
12271a23946
1314a3709b9
14a8385cb4
1568008073
hex42898386

1116308358 has 128 divisors (see below), whose sum is σ = 2855347200. Its totient is φ = 319968000.

The previous prime is 1116308329. The next prime is 1116308393. The reversal of 1116308358 is 8538036111.

1116308358 is a `hidden beast` number, since 1 + 11 + 630 + 8 + 3 + 5 + 8 = 666.

It is a super-2 number, since 2×11163083582 = 2492288700281312328, which contains 22 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 (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1379458 + ... + 1380266.

It is an arithmetic number, because the mean of its divisors is an integer number (22307400).

Almost surely, 21116308358 is an apocalyptic number.

1116308358 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1116308358, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1427673600).

1116308358 is an abundant number, since it is smaller than the sum of its proper divisors (1739038842).

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

1116308358 is a wasteful number, since it uses less digits than its factorization.

1116308358 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 955 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 1116308358 is about 33411.2010858634. The cubic root of 1116308358 is about 1037.3565627028.

The spelling of 1116308358 in words is "one billion, one hundred sixteen million, three hundred eight thousand, three hundred fifty-eight".

Divisors: 1 2 3 6 9 11 18 22 23 27 33 46 54 66 69 99 101 138 198 202 207 253 297 303 414 506 594 606 621 759 809 909 1111 1242 1518 1618 1818 2222 2277 2323 2427 2727 3333 4554 4646 4854 5454 6666 6831 6969 7281 8899 9999 13662 13938 14562 17798 18607 19998 20907 21843 25553 26697 29997 37214 41814 43686 51106 53394 55821 59994 62721 76659 80091 81709 111642 125442 153318 160182 163418 167463 204677 229977 240273 245127 334926 409354 459954 480546 490254 502389 614031 689931 735381 898799 1004778 1228062 1379862 1470762 1797598 1842093 1879307 2206143 2696397 3684186 3758614 4412286 5392794 5526279 5637921 8089191 11052558 11275842 16178382 16913763 20672377 24267573 33827526 41344754 48535146 50741289 62017131 101482578 124034262 186051393 372102786 558154179 1116308358