Search a number
-
+
115335033088 = 2811232716571
BaseRepresentation
bin110101101101010000…
…0001111000100000000
3102000200220012201221011
41223122200033010000
53342201232024323
6124552330010304
711222052414532
oct1533240170400
9360626181834
10115335033088
1144a0568a470
121a429576994
13ab508a1412
145821977852
15300067d20d
hex1ada80f100

115335033088 has 144 divisors (see below), whose sum is σ = 263075162112. Its totient is φ = 49953024000.

The previous prime is 115335033061. The next prime is 115335033097. The reversal of 115335033088 is 880330533511.

It is a self number, because there is not a number n which added to its sum of digits gives 115335033088.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17548843 + ... + 17555413.

It is an arithmetic number, because the mean of its divisors is an integer number (1826910848).

Almost surely, 2115335033088 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 115335033088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131537581056).

115335033088 is an abundant number, since it is smaller than the sum of its proper divisors (147740129024).

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

115335033088 is a wasteful number, since it uses less digits than its factorization.

115335033088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6892 (or 6878 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 40.

Adding to 115335033088 its reverse (880330533511), we get a palindrome (995665566599).

The spelling of 115335033088 in words is "one hundred fifteen billion, three hundred thirty-five million, thirty-three thousand, eighty-eight".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 64 88 92 128 176 184 253 256 271 352 368 506 542 704 736 1012 1084 1408 1472 2024 2168 2816 2944 2981 4048 4336 5888 5962 6233 6571 8096 8672 11924 12466 13142 16192 17344 23848 24932 26284 32384 34688 47696 49864 52568 64768 68563 69376 72281 95392 99728 105136 137126 144562 151133 190784 199456 210272 274252 289124 302266 381568 398912 420544 548504 578248 604532 763136 797824 841088 1097008 1156496 1209064 1595648 1662463 1682176 1780741 2194016 2312992 2418128 3324926 3561482 4388032 4625984 4836256 6649852 7122964 8776064 9251968 9672512 13299704 14245928 17552128 18503936 19345024 19588151 26599408 28491856 38690048 39176302 40957043 53198816 56983712 78352604 81914086 106397632 113967424 156705208 163828172 212795264 227934848 313410416 327656344 425590528 450527473 455869696 626820832 655312688 901054946 1253641664 1310625376 1802109892 2507283328 2621250752 3604219784 5014566656 5242501504 7208439568 10485003008 14416879136 28833758272 57667516544 115335033088