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42849000012 = 223721315137123
BaseRepresentation
bin100111111001111111…
…111101101001001100
311002121012221201210110
4213321333331221030
51200223321000022
631403510440020
73044560330200
oct477177755114
9132535851713
1042849000012
1117199163a05
12837a063010
13406b3a79a0
142106b08b00
1511abba000c
hex9f9ffda4c

42849000012 has 144 divisors (see below), whose sum is σ = 126083795712. Its totient is φ = 11225692800.

The previous prime is 42848999989. The next prime is 42849000031. The reversal of 42849000012 is 21000094824.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1135683 + ... + 1172805.

Almost surely, 242849000012 is an apocalyptic number.

42849000012 is a gapful number since it is divisible by the number (42) 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 42849000012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63041897856).

42849000012 is an abundant number, since it is smaller than the sum of its proper divisors (83234795700).

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

42849000012 is a wasteful number, since it uses less digits than its factorization.

42849000012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37308 (or 37299 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

Adding to 42849000012 its reverse (21000094824), we get a palindrome (63849094836).

The spelling of 42849000012 in words is "forty-two billion, eight hundred forty-nine million, twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 78 84 91 98 147 151 156 182 196 273 294 302 364 453 546 588 604 637 906 1057 1092 1274 1812 1911 1963 2114 2548 3171 3822 3926 4228 5889 6342 7399 7644 7852 11778 12684 13741 14798 22197 23556 27482 29596 37123 41223 44394 54964 74246 82446 88788 96187 111369 148492 164892 192374 222738 259861 288561 384748 445476 482599 519722 577122 779583 965198 1039444 1154244 1447797 1559166 1819027 1930396 2895594 3118332 3378193 3638054 5457081 5605573 5791188 6756386 7276108 10134579 10914162 11211146 13512772 16816719 20269158 21828324 22422292 23647351 33633438 39239011 40538316 47294702 67266876 70942053 72872449 78478022 94589404 117717033 141884106 145744898 156956044 218617347 235434066 274673077 283768212 291489796 437234694 470868132 510107143 549346154 824019231 874469388 1020214286 1098692308 1530321429 1648038462 2040428572 3060642858 3296076924 3570750001 6121285716 7141500002 10712250003 14283000004 21424500006 42849000012