Search a number
-
+
11322631590 = 2352337597517
BaseRepresentation
bin10101000101110000…
…11010010110100110
31002020002112021120120
422202320122112212
5141142043202330
65111311142410
7550404531504
oct124270322646
932202467516
1011322631590
11489036a776
12223bb14a06
1310b5a1a60a
14795a95674
1546406dc10
hex2a2e1a5a6

11322631590 has 128 divisors (see below), whose sum is σ = 29619717120. Its totient is φ = 2762039808.

The previous prime is 11322631547. The next prime is 11322631591. The reversal of 11322631590 is 9513622311.

11322631590 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×113226315902 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11322631591) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1502512 + ... + 1510028.

It is an arithmetic number, because the mean of its divisors is an integer number (231404040).

Almost surely, 211322631590 is an apocalyptic number.

11322631590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11322631590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14809858560).

11322631590 is an abundant number, since it is smaller than the sum of its proper divisors (18297085530).

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

11322631590 is a wasteful number, since it uses less digits than its factorization.

11322631590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7646.

The product of its (nonzero) digits is 9720, while the sum is 33.

The spelling of 11322631590 in words is "eleven billion, three hundred twenty-two million, six hundred thirty-one thousand, five hundred ninety".

Divisors: 1 2 3 5 6 10 15 23 30 37 46 59 69 74 111 115 118 138 177 185 222 230 295 345 354 370 555 590 690 851 885 1110 1357 1702 1770 2183 2553 2714 4071 4255 4366 5106 6549 6785 7517 8142 8510 10915 12765 13098 13570 15034 20355 21830 22551 25530 32745 37585 40710 45102 50209 65490 75170 100418 112755 150627 172891 225510 251045 278129 301254 345782 443503 502090 518673 556258 753135 834387 864455 887006 1037346 1330509 1390645 1506270 1668774 1728910 2217515 2593365 2661018 2781290 4171935 4435030 5186730 6396967 6652545 8343870 10200569 12793934 13305090 16409611 19190901 20401138 30601707 31984835 32819222 38381802 49228833 51002845 61203414 63969670 82048055 95954505 98457666 102005690 153008535 164096110 191909010 246144165 306017070 377421053 492288330 754842106 1132263159 1887105265 2264526318 3774210530 5661315795 11322631590