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11626150113340 = 2257313271277147
BaseRepresentation
bin1010100100101110110010…
…0011000011000000111100
31112011110010101120010111221
42221023230203003000330
53010440323412111330
640420551333323124
72306650560265000
oct251135443030074
945143111503457
1011626150113340
113782693711724
1213792861964a4
136644589635b9
142c29cc828700
1515265217db7a
hexa92ec8c303c

11626150113340 has 96 divisors (see below), whose sum is σ = 28493682739200. Its totient is φ = 3983101641792.

The previous prime is 11626150113337. The next prime is 11626150113341. The reversal of 11626150113340 is 4331105162611.

It is a junction number, because it is equal to n+sod(n) for n = 11626150113296 and 11626150113305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11626150113341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8464647 + ... + 9741793.

It is an arithmetic number, because the mean of its divisors is an integer number (296809195200).

Almost surely, 211626150113340 is an apocalyptic number.

11626150113340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11626150113340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14246841369600).

11626150113340 is an abundant number, since it is smaller than the sum of its proper divisors (16867532625860).

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

11626150113340 is a wasteful number, since it uses less digits than its factorization.

11626150113340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1278504 (or 1278488 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

Adding to 11626150113340 its reverse (4331105162611), we get a palindrome (15957255275951).

The spelling of 11626150113340 in words is "eleven trillion, six hundred twenty-six billion, one hundred fifty million, one hundred thirteen thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 343 490 686 980 1327 1372 1715 2654 3430 5308 6635 6860 9289 13270 18578 26540 37156 46445 65023 92890 130046 185780 260092 325115 455161 650230 910322 1277147 1300460 1820644 2275805 2554294 4551610 5108588 6385735 8940029 9103220 12771470 17880058 25542940 35760116 44700145 62580203 89400290 125160406 178800580 250320812 312901015 438061421 625802030 876122842 1251604060 1694774069 1752245684 2190307105 3389548138 4380614210 6779096276 8473870345 8761228420 11863418483 16947740690 23726836966 33895481380 47453673932 59317092415 83043929381 118634184830 166087858762 237268369660 332175717524 415219646905 581307505667 830439293810 1162615011334 1660878587620 2325230022668 2906537528335 5813075056670 11626150113340