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42519935916 = 223219231105541
BaseRepresentation
bin100111100110011000…
…101011101110101100
311001202021202112201100
4213212120223232230
51144040100422131
631311113443100
73033453330513
oct474630535654
9131667675640
1042519935916
111703a439207
1282a7a10490
134018171bc3
1420b512b67a
15118cd4e7e6
hex9e662bbac

42519935916 has 108 divisors (see below), whose sum is σ = 117095893824. Its totient is φ = 12994084800.

The previous prime is 42519935891. The next prime is 42519935963. The reversal of 42519935916 is 61953991524.

42519935916 is a `hidden beast` number, since 4 + 2 + 519 + 9 + 35 + 91 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 350106 + ... + 455646.

Almost surely, 242519935916 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 42519935916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58547946912).

42519935916 is an abundant number, since it is smaller than the sum of its proper divisors (74575957908).

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

42519935916 is a wasteful number, since it uses less digits than its factorization.

42519935916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105620 (or 105596 counting only the distinct ones).

The product of its digits is 2624400, while the sum is 54.

The spelling of 42519935916 in words is "forty-two billion, five hundred nineteen million, nine hundred thirty-five thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 19 31 36 38 57 62 76 93 114 124 171 186 228 279 342 361 372 558 589 684 722 1083 1116 1178 1444 1767 2166 2356 3249 3534 4332 5301 6498 7068 10602 11191 12996 21204 22382 33573 44764 67146 100719 105541 134292 201438 211082 316623 402876 422164 633246 949869 1266492 1899738 2005279 3271771 3799476 4010558 6015837 6543542 8021116 9815313 12031674 13087084 18047511 19630626 24063348 29445939 36095022 38100301 39261252 58891878 62163649 72190044 76200602 114300903 117783756 124327298 152401204 186490947 228601806 248654596 342902709 372981894 457203612 559472841 685805418 745963788 1118945682 1181109331 1371610836 2237891364 2362218662 3543327993 4724437324 7086655986 10629983979 14173311972 21259967958 42519935916