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42417016350 = 23523128332233
BaseRepresentation
bin100111100000010000…
…000100111000011110
311001111010002200121120
4213200100010320132
51143332224010400
631252555511410
73031063455462
oct474020047036
9131433080546
1042417016350
1116a97333215
128279458566
133ccca48557
1420a55ba4a2
151183cbeca0
hex9e0404e1e

42417016350 has 96 divisors (see below), whose sum is σ = 108974644224. Its totient is φ = 10907308800.

The previous prime is 42417016333. The next prime is 42417016357. The reversal of 42417016350 is 5361071424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42417016357) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1299834 + ... + 1332066.

It is an arithmetic number, because the mean of its divisors is an integer number (1135152544).

Almost surely, 242417016350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42417016350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54487322112).

42417016350 is an abundant number, since it is smaller than the sum of its proper divisors (66557627874).

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

42417016350 is a wasteful number, since it uses less digits than its factorization.

42417016350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32562 (or 32557 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

Adding to 42417016350 its reverse (5361071424), we get a palindrome (47778087774).

The spelling of 42417016350 in words is "forty-two billion, four hundred seventeen million, sixteen thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 31 50 62 75 93 150 155 186 283 310 465 566 775 849 930 1415 1550 1698 2325 2830 4245 4650 7075 8490 8773 14150 17546 21225 26319 32233 42450 43865 52638 64466 87730 96699 131595 161165 193398 219325 263190 322330 438650 483495 657975 805825 966990 999223 1315950 1611650 1998446 2417475 2997669 4834950 4996115 5995338 9121939 9992230 14988345 18243878 24980575 27365817 29976690 45609695 49961150 54731634 74941725 91219390 136829085 149883450 228048475 273658170 282780109 456096950 565560218 684145425 848340327 1368290850 1413900545 1696680654 2827801090 4241701635 7069502725 8483403270 14139005450 21208508175 42417016350