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42525122220 = 22325757159107
BaseRepresentation
bin100111100110101100…
…011101111010101100
311001202122112000222200
4213212230131322230
51144042412402340
631311420541500
73033545401110
oct474654357254
9131678460880
1042525122220
1117042360809
1282a96b1890
134019269719
1420b5abb740
15118d526330
hex9e6b1deac

42525122220 has 144 divisors (see below), whose sum is σ = 147681101568. Its totient is φ = 9702840960.

The previous prime is 42525122201. The next prime is 42525122221. The reversal of 42525122220 is 2222152524.

It is a happy number.

42525122220 is a `hidden beast` number, since 425 + 2 + 5 + 12 + 2 + 220 = 666.

It is not an unprimeable number, because it can be changed into a prime (42525122221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 689907 + ... + 749013.

Almost surely, 242525122220 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 42525122220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73840550784).

42525122220 is an abundant number, since it is smaller than the sum of its proper divisors (105155979348).

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

42525122220 is a wasteful number, since it uses less digits than its factorization.

42525122220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59700 (or 59695 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

Adding to 42525122220 its reverse (2222152524), we get a palindrome (44747274744).

The spelling of 42525122220 in words is "forty-two billion, five hundred twenty-five million, one hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 571 630 1142 1260 1713 2284 2855 3426 3997 5139 5710 6852 7994 8565 10278 11420 11991 15988 17130 19985 20556 23982 25695 34260 35973 39970 47964 51390 59107 59955 71946 79940 102780 118214 119910 143892 177321 179865 236428 239820 295535 354642 359730 413749 531963 591070 709284 719460 827498 886605 1063926 1182140 1241247 1654996 1773210 2068745 2127852 2482494 2659815 3546420 3723741 4137490 4964988 5319630 6206235 7447482 8274980 10639260 12412470 14894964 18618705 24824940 33750097 37237410 67500194 74474820 101250291 135000388 168750485 202500582 236250679 303750873 337500970 405001164 472501358 506251455 607501746 675001940 708752037 945002716 1012502910 1181253395 1215003492 1417504074 1518754365 2025005820 2126256111 2362506790 2835008148 3037508730 3543760185 4252512222 4725013580 6075017460 7087520370 8505024444 10631280555 14175040740 21262561110 42525122220