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420553413222150 = 2352131084719882771
BaseRepresentation
bin101111110011111011011100…
…0110011011101111100000110
32001011001111212110100011020010
41133213312320303131330012
5420110321342241102100
64050235323151051050
7154403660425513425
oct13747667063357406
92034044773304203
10420553413222150
11112001778a6052a
123b20209b210a86
131508802a8c4440
1475bcc728692bc
15339485ce57750
hex17e7db8cddf06

420553413222150 has 96 divisors (see below), whose sum is σ = 1123304721896448. Its totient is φ = 103511291241600.

The previous prime is 420553413222119. The next prime is 420553413222167. The reversal of 420553413222150 is 51222314355024.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 420553413222099 and 420553413222108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11210265 + ... + 31093035.

It is an arithmetic number, because the mean of its divisors is an integer number (11701090853088).

Almost surely, 2420553413222150 is an apocalyptic number.

420553413222150 is an abundant number, since it is smaller than the sum of its proper divisors (702751308674298).

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

420553413222150 is a wasteful number, since it uses less digits than its factorization.

420553413222150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19893646 (or 19893641 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 39.

Adding to 420553413222150 its reverse (51222314355024), we get a palindrome (471775727577174).

The spelling of 420553413222150 in words is "four hundred twenty trillion, five hundred fifty-three billion, four hundred thirteen million, two hundred twenty-two thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 13 15 25 26 30 39 50 65 75 78 130 150 195 325 390 650 975 1950 10847 21694 32541 54235 65082 108470 141011 162705 271175 282022 325410 423033 542350 705055 813525 846066 1410110 1627050 2115165 3525275 4230330 7050550 10575825 19882771 21151650 39765542 59648313 99413855 119296626 198827710 258476023 298241565 497069275 516952046 596483130 775428069 994138550 1292380115 1491207825 1550856138 2584760230 2982415650 3877140345 6461900575 7754280690 12923801150 19385701725 38771403450 215668417037 431336834074 647005251111 1078342085185 1294010502222 2156684170370 2803689421481 3235026255555 5391710425925 5607378842962 6470052511110 8411068264443 10783420851850 14018447107405 16175131277775 16822136528886 28036894214810 32350262555550 42055341322215 70092235537025 84110682644430 140184471074050 210276706611075 420553413222150