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10364440045050 = 23252713253099879
BaseRepresentation
bin1001011011010010100011…
…0001000110010111111010
31100200211102122110202002200
42112310220301012113322
52324302333122420200
634013205200011030
72116543325536260
oct226645061062772
940624378422080
1010364440045050
1133365972289a3
1211b4846000a76
135a24935584b0
1427b8da6a4430
1512e909a4d800
hex96d28c465fa

10364440045050 has 144 divisors (see below), whose sum is σ = 34271748551040. Its totient is φ = 2186782945920.

The previous prime is 10364440044997. The next prime is 10364440045061. The reversal of 10364440045050 is 5054004446301.

10364440045050 is a `hidden beast` number, since 1 + 0 + 3 + 644 + 4 + 0 + 0 + 4 + 5 + 0 + 5 + 0 = 666.

10364440045050 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10364440044996 and 10364440045014.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 126508990 + ... + 126590889.

Almost surely, 210364440045050 is an apocalyptic number.

10364440045050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10364440045050 is an abundant number, since it is smaller than the sum of its proper divisors (23907308505990).

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

10364440045050 is a wasteful number, since it uses less digits than its factorization.

10364440045050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253099917 (or 253099909 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 10364440045050 in words is "ten trillion, three hundred sixty-four billion, four hundred forty million, forty-five thousand, fifty".

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 25 26 30 35 39 42 45 50 63 65 70 75 78 90 91 105 117 126 130 150 175 182 195 210 225 234 273 315 325 350 390 450 455 525 546 585 630 650 819 910 975 1050 1170 1365 1575 1638 1950 2275 2730 2925 3150 4095 4550 5850 6825 8190 13650 20475 40950 253099879 506199758 759299637 1265499395 1518599274 1771699153 2277898911 2530998790 3290298427 3543398306 3796498185 4555797822 5315097459 6327496975 6580596854 7592996370 8858495765 9870895281 10630194918 11389494555 12654993950 15945292377 16451492135 17716991530 18982490925 19741790562 22778989110 23032088989 26575487295 29612685843 31890584754 32902984270 37964981850 44292478825 46064177978 49354476405 53150974590 56947472775 59225371686 69096266967 79726461885 82257460675 88584957650 98708952810 113894945550 115160444945 132877436475 138192533934 148063429215 159452923770 164514921350 207288800901 230320889890 246772382025 265754872950 296126858430 345481334835 398632309425 414577601802 493544764050 575802224725 690962669670 740317146075 797264618850 1036444004505 1151604449450 1480634292150 1727406674175 2072888009010 3454813348350 5182220022525 10364440045050