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42055122216 = 23353173223857
BaseRepresentation
bin100111001010101011…
…100011110100101000
311000112220010120012010
4213022223203310220
51142112102402331
631153031115520
73016110432522
oct471253436450
9130486116163
1042055122216
1116921024858
128198212ba0
133c72a89603
14206d4d4a12
151162136e46
hex9caae3d28

42055122216 has 128 divisors (see below), whose sum is σ = 108350161920. Its totient is φ = 13597169664.

The previous prime is 42055122211. The next prime is 42055122247. The reversal of 42055122216 is 61222155024.

42055122216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (42055122211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49072060 + ... + 49072916.

It is an arithmetic number, because the mean of its divisors is an integer number (846485640).

Almost surely, 242055122216 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 42055122216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54175080960).

42055122216 is an abundant number, since it is smaller than the sum of its proper divisors (66295039704).

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

42055122216 is a wasteful number, since it uses less digits than its factorization.

42055122216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1315 (or 1311 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The spelling of 42055122216 in words is "forty-two billion, fifty-five million, one hundred twenty-two thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 53 106 159 173 212 223 318 346 424 446 519 636 669 692 857 892 1038 1272 1338 1384 1714 1784 2076 2571 2676 3428 4152 5142 5352 6856 9169 10284 11819 18338 20568 23638 27507 35457 36676 38579 45421 47276 55014 70914 73352 77158 90842 94552 110028 115737 136263 141828 148261 154316 181684 191111 220056 231474 272526 283656 296522 308632 363368 382222 444783 462948 545052 573333 593044 764444 889566 925896 1090104 1146666 1186088 1528888 1779132 2044687 2293332 3558264 4089374 4586664 6134061 7857833 8178748 10128883 12268122 15715666 16357496 20257766 23573499 24536244 30386649 31431332 33062203 40515532 47146998 49072488 60773298 62862664 66124406 81031064 94293996 99186609 121546596 132248812 188587992 198373218 243093192 264497624 396746436 793492872 1752296759 3504593518 5256890277 7009187036 10513780554 14018374072 21027561108 42055122216