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42335335336 = 23719531017433
BaseRepresentation
bin100111011011011000…
…011111001110101000
311001021102101212022211
4213123120133032220
51143200321212321
631240521054504
73026052261430
oct473330371650
9131242355284
1042335335336
1116a55214048
128256027434
133cb8b49ca8
1420987d72c0
15117ba380e1
hex9db61f3a8

42335335336 has 128 divisors (see below), whose sum is σ = 98271532800. Its totient is φ = 16695244800.

The previous prime is 42335335303. The next prime is 42335335337. The reversal of 42335335336 is 63353353324.

It is a super-3 number, since 3×423353353363 (a number of 33 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (42335335337) 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, 5691876 + ... + 5699308.

It is an arithmetic number, because the mean of its divisors is an integer number (767746350).

Almost surely, 242335335336 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 42335335336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49135766400).

42335335336 is an abundant number, since it is smaller than the sum of its proper divisors (55936197464).

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

42335335336 is a wasteful number, since it uses less digits than its factorization.

42335335336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7619 (or 7615 counting only the distinct ones).

The product of its digits is 874800, while the sum is 40.

The spelling of 42335335336 in words is "forty-two billion, three hundred thirty-five million, three hundred thirty-five thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 14 19 28 38 53 56 76 101 106 133 152 202 212 266 371 404 424 532 707 742 808 1007 1064 1414 1484 1919 2014 2828 2968 3838 4028 5353 5656 7049 7433 7676 8056 10706 13433 14098 14866 15352 21412 26866 28196 29732 37471 42824 52031 53732 56392 59464 74942 101707 104062 107464 141227 149884 203414 208124 282454 299768 393949 406828 416248 564908 711949 750733 787898 813656 988589 1129816 1423898 1501466 1575796 1977178 2757643 2847796 3002932 3151592 3954356 5255131 5515286 5695592 6005864 7485031 7908712 10510262 11030572 14263927 14970062 21020524 22061144 28527854 29940124 39788849 42041048 52395217 57055708 59880248 79577698 99847489 104790434 114111416 159155396 199694978 209580868 278521943 318310792 399389956 419161736 557043886 755988131 798779912 1114087772 1511976262 2228175544 3023952524 5291916917 6047905048 10583833834 21167667668 42335335336