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42490715670 = 23351315317907
BaseRepresentation
bin100111100100101001…
…001101111000010110
311001200020210000002000
4213210221031320112
51144010110400140
631304151300130
73032650060344
oct474451157026
9131606700060
1042490715670
11170249a0647
12829a07a646
1340120b0b10
1420b12c2994
15118a4cba30
hex9e4a4de16

42490715670 has 128 divisors (see below), whose sum is σ = 122119764480. Its totient is φ = 10451099520.

The previous prime is 42490715651. The next prime is 42490715681. The reversal of 42490715670 is 7651709424.

42490715670 is a `hidden beast` number, since 4 + 2 + 490 + 7 + 156 + 7 + 0 = 666.

42490715670 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5369857 + ... + 5377763.

It is an arithmetic number, because the mean of its divisors is an integer number (954060660).

Almost surely, 242490715670 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42490715670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61059882240).

42490715670 is an abundant number, since it is smaller than the sum of its proper divisors (79629048810).

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

42490715670 is a wasteful number, since it uses less digits than its factorization.

42490715670 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9467 (or 9461 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 42490715670 in words is "forty-two billion, four hundred ninety million, seven hundred fifteen thousand, six hundred seventy".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 117 130 135 195 234 270 351 390 585 702 1170 1531 1755 3062 3510 4593 7655 7907 9186 13779 15310 15814 19903 22965 23721 27558 39535 39806 41337 45930 47442 59709 68895 71163 79070 82674 99515 102791 118605 119418 137790 142326 179127 199030 205582 206685 213489 237210 298545 308373 355815 358254 413370 426978 513955 537381 597090 616746 711630 895635 925119 1027910 1067445 1074762 1541865 1791270 1850238 2134890 2686905 2775357 3083730 4625595 5373810 5550714 9251190 12105617 13876785 24211234 27753570 36316851 60528085 72633702 108950553 121056170 157373021 181584255 217901106 314746042 326851659 363168510 472119063 544752765 653703318 786865105 944238126 1089505530 1416357189 1573730210 1634258295 2360595315 2832714378 3268516590 4249071567 4721190630 7081785945 8498143134 14163571890 21245357835 42490715670