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42072412662 = 2347313473449
BaseRepresentation
bin100111001011101101…
…100001000111110110
311000121002200000020000
4213023231201013312
51142131014201122
631154445452130
73016410415140
oct471355410766
9130532600200
1042072412662
111692a864385
1281a1b71046
133c76531647
142071915c90
1511639000ac
hex9cbb611f6

42072412662 has 160 divisors (see below), whose sum is σ = 111569356800. Its totient is φ = 11596037760.

The previous prime is 42072412597. The next prime is 42072412691. The reversal of 42072412662 is 26621427024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12196714 + ... + 12200162.

It is an arithmetic number, because the mean of its divisors is an integer number (697308480).

Almost surely, 242072412662 is an apocalyptic number.

42072412662 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 42072412662, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55784678400).

42072412662 is an abundant number, since it is smaller than the sum of its proper divisors (69496944138).

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

42072412662 is a wasteful number, since it uses less digits than its factorization.

42072412662 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3848 (or 3839 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

Adding to 42072412662 its reverse (26621427024), we get a palindrome (68693839686).

The spelling of 42072412662 in words is "forty-two billion, seventy-two million, four hundred twelve thousand, six hundred sixty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 31 42 54 62 63 81 93 126 162 186 189 217 279 347 378 434 558 567 651 694 837 1041 1134 1302 1674 1953 2082 2429 2511 3123 3449 3906 4858 5022 5859 6246 6898 7287 9369 10347 10757 11718 14574 17577 18738 20694 21514 21861 24143 28107 31041 32271 35154 43722 48286 56214 62082 64542 65583 72429 75299 93123 96813 106919 131166 144858 150598 186246 193626 196749 213838 217287 225897 279369 290439 320757 393498 434574 451794 558738 580878 641514 651861 677691 748433 871317 962271 1196803 1303722 1355382 1496866 1742634 1924542 1955583 2033073 2245299 2393606 2886813 3590409 3911166 4066146 4490598 5773626 6099219 6735897 7180818 8377621 8660439 10771227 12198438 13471794 16755242 17320878 20207691 21542454 25132863 32313681 37100893 40415382 50265726 60623073 64627362 74201786 75398589 96941043 111302679 121246146 150797178 193882086 222605358 226195767 259706251 333908037 452391534 519412502 667816074 678587301 779118753 1001724111 1357174602 1558237506 2003448222 2337356259 3005172333 4674712518 6010344666 7012068777 14024137554 21036206331 42072412662