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42363587036064 = 2537231290511761
BaseRepresentation
bin10011010000111100010101…
…00011101000001110100000
312112222220211012221000012110
421220132022203220032200
521023041111240123224
6230033321353155320
711631445115261100
oct1150361243501640
9175886735830173
1042363587036064
1112553329513528
12490241b6bbb40
131a83b3b5a9058
14a665a10d7200
154d6e929ab929
hex26878a8e83a0

42363587036064 has 144 divisors (see below), whose sum is σ = 133533150379776. Its totient is φ = 11713434163200.

The previous prime is 42363587036053. The next prime is 42363587036087. The reversal of 42363587036064 is 46063078536324.

It is a super-2 number, since 2×423635870360642 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42363587035995 and 42363587036013.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 145110057 + ... + 145401704.

It is an arithmetic number, because the mean of its divisors is an integer number (927313544304).

Almost surely, 242363587036064 is an apocalyptic number.

It is an amenable number.

42363587036064 is an abundant number, since it is smaller than the sum of its proper divisors (91169563343712).

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

42363587036064 is a wasteful number, since it uses less digits than its factorization.

42363587036064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290511819 (or 290511804 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 57.

The spelling of 42363587036064 in words is "forty-two trillion, three hundred sixty-three billion, five hundred eighty-seven million, thirty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 49 56 62 84 93 96 98 112 124 147 168 186 196 217 224 248 294 336 372 392 434 496 588 651 672 744 784 868 992 1176 1302 1488 1519 1568 1736 2352 2604 2976 3038 3472 4557 4704 5208 6076 6944 9114 10416 12152 18228 20832 24304 36456 48608 72912 145824 290511761 581023522 871535283 1162047044 1743070566 2033582327 2324094088 3486141132 4067164654 4648188176 6100746981 6972282264 8134329308 9005864591 9296376352 12201493962 13944564528 14235076289 16268658616 18011729182 24402987924 27017593773 27889129056 28470152578 32537317232 36023458364 42705228867 48805975848 54035187546 56940305156 63041052137 65074634464 72046916728 85410457734 97611951696 108070375092 113880610312 126082104274 144093833456 170820915468 189123156411 195223903392 216140750184 227761220624 252164208548 288187666912 341641830936 378246312822 432281500368 441287364959 455522441248 504328417096 683283661872 756492625644 864563000736 882574729918 1008656834192 1323862094877 1366567323744 1512985251288 1765149459836 2017313668384 2647724189754 3025970502576 3530298919672 5295448379508 6051941005152 7060597839344 10590896759016 14121195678688 21181793518032 42363587036064