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42946301898 = 2342941593779
BaseRepresentation
bin100111111111110011…
…001000111111001010
311002212000001011220000
4213333303020333022
51200423223130043
631421304143430
73050151354153
oct477763107712
9132760034800
1042946301898
1117239082295
1283a6767b76
1340855b5376
1421159d692a
1511b54c02d3
hex9ffcc8fca

42946301898 has 160 divisors (see below), whose sum is σ = 103733784000. Its totient is φ = 13252619520.

The previous prime is 42946301851. The next prime is 42946301917. The reversal of 42946301898 is 89810364924.

42946301898 is a `hidden beast` number, since 429 + 4 + 6 + 30 + 189 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11362573 + ... + 11366351.

It is an arithmetic number, because the mean of its divisors is an integer number (648336150).

Almost surely, 242946301898 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42946301898, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51866892000).

42946301898 is an abundant number, since it is smaller than the sum of its proper divisors (60787482102).

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

42946301898 is a wasteful number, since it uses less digits than its factorization.

42946301898 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3922 (or 3913 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 42946301898 in words is "forty-two billion, nine hundred forty-six million, three hundred one thousand, eight hundred ninety-eight".

Divisors: 1 2 3 6 9 18 27 29 41 54 58 59 81 82 87 118 123 162 174 177 246 261 354 369 522 531 738 783 1062 1107 1189 1566 1593 1711 2214 2349 2378 2419 3186 3321 3422 3567 3779 4698 4779 4838 5133 6642 7134 7257 7558 9558 10266 10701 11337 14514 15399 21402 21771 22674 30798 32103 34011 43542 46197 64206 65313 68022 70151 92394 96309 102033 109591 130626 138591 140302 154939 192618 195939 204066 210453 219182 222961 277182 306099 309878 328773 391878 420906 445922 464817 612198 631359 657546 668883 929634 986319 1262718 1337766 1394451 1894077 1972638 2006649 2788902 2958957 3788154 4013298 4183353 4493231 5682231 5917914 6019947 6465869 8366706 8876871 8986462 9141401 11364462 12039894 12550059 12931738 13479693 17753742 18059841 18282802 19397607 25100118 26959386 27424203 36119682 38795214 40439079 54848406 58192821 80878158 82272609 116385642 121317237 164545218 174578463 242634474 246817827 265100629 349156926 363951711 493635654 523735389 530201258 727903422 740453481 795301887 1047470778 1480906962 1590603774 2385905661 4771811322 7157716983 14315433966 21473150949 42946301898