Search a number
-
+
42417627150 = 2352303793113
BaseRepresentation
bin100111100000010010…
…011010000000001110
311001111011020201110210
4213200102122000032
51143332403032100
631253020543250
73031101611313
oct474022320016
9131434221423
1042417627150
1116a97710108
1282796b1b26
133cccc00582
1420a56d8d0a
151183d90c50
hex9e049a00e

42417627150 has 48 divisors (see below), whose sum is σ = 105231483504. Its totient is φ = 11307521280.

The previous prime is 42417627149. The next prime is 42417627191. The reversal of 42417627150 is 5172671424.

It is a junction number, because it is equal to n+sod(n) for n = 42417627099 and 42417627108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 408994 + ... + 502106.

It is an arithmetic number, because the mean of its divisors is an integer number (2192322573).

Almost surely, 242417627150 is an apocalyptic number.

42417627150 is an abundant number, since it is smaller than the sum of its proper divisors (62813856354).

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

42417627150 is a wasteful number, since it uses less digits than its factorization.

42417627150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96165 (or 96160 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

The spelling of 42417627150 in words is "forty-two billion, four hundred seventeen million, six hundred twenty-seven thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 3037 6074 9111 15185 18222 30370 45555 75925 91110 93113 151850 186226 227775 279339 455550 465565 558678 931130 1396695 2327825 2793390 4655650 6983475 13966950 282784181 565568362 848352543 1413920905 1696705086 2827841810 4241762715 7069604525 8483525430 14139209050 21208813575 42417627150