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11833854561368 = 2372937229860009
BaseRepresentation
bin1010110000110100100010…
…1100101000110001011000
31112220022020200010022211022
42230031020230220301120
53022341213231430433
641100221524422012
72330652643046420
oct254151054506130
945808220108738
1011833854561368
113852789434744
1213b1591b47908
1367ac0a1c4558
142cca93c3b480
15157c5bbbc698
hexac348b28c58

11833854561368 has 128 divisors (see below), whose sum is σ = 27059354640000. Its totient is φ = 4743611486208.

The previous prime is 11833854561311. The next prime is 11833854561371. The reversal of 11833854561368 is 86316545833811.

It is a Cunningham number, because it is equal to 34400372-1.

It is a super-2 number, since 2×118338545613682 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11833854561368.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13330148 + ... + 14190156.

It is an arithmetic number, because the mean of its divisors is an integer number (211401208125).

Almost surely, 211833854561368 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 11833854561368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13529677320000).

11833854561368 is an abundant number, since it is smaller than the sum of its proper divisors (15225500078632).

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

11833854561368 is a wasteful number, since it uses less digits than its factorization.

11833854561368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860317 (or 860313 counting only the distinct ones).

The product of its digits is 49766400, while the sum is 62.

The spelling of 11833854561368 in words is "eleven trillion, eight hundred thirty-three billion, eight hundred fifty-four million, five hundred sixty-one thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 28 29 37 56 58 74 116 148 203 229 232 259 296 406 458 518 812 916 1036 1073 1603 1624 1832 2072 2146 3206 4292 6412 6641 7511 8473 8584 12824 13282 15022 16946 26564 30044 33892 46487 53128 59311 60088 67784 92974 118622 185948 237244 245717 371896 474488 491434 860009 982868 1720018 1720019 1965736 3440036 3440038 6020063 6880072 6880076 12040126 13760152 24080252 24940261 31820333 48160504 49880522 63640666 99761044 127281332 174581827 196942061 199522088 222742331 254562664 349163654 393884122 445484662 698327308 787768244 890969324 922789657 1378594427 1396654616 1575536488 1781938648 1845579314 2757188854 3691158628 5514377708 5711319769 6459527599 7286856257 7382317256 11028755416 11422639538 12919055198 14573712514 22845279076 25838110396 29147425028 39979238383 45690558152 51007993799 51676220792 58294850056 79958476766 102015987598 159916953532 204031975196 211318831453 319833907064 408063950392 422637662906 845275325812 1479231820171 1690550651624 2958463640342 5916927280684 11833854561368