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42335415336 = 23323895091693
BaseRepresentation
bin100111011011011000…
…110010110000101000
311001021102112221001210
4213123120302300220
51143200331242321
631240522513120
73026053043604
oct473330626050
9131242487053
1042335415336
1116a55269165
1282560657a0
133cb8b77526
142098818504
15117ba51b76
hex9db632c28

42335415336 has 128 divisors (see below), whose sum is σ = 111966624000. Its totient is φ = 13312493568.

The previous prime is 42335415319. The next prime is 42335415341. The reversal of 42335415336 is 63351453324.

It is a junction number, because it is equal to n+sod(n) for n = 42335415294 and 42335415303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25005306 + ... + 25006998.

It is an arithmetic number, because the mean of its divisors is an integer number (874739250).

Almost surely, 242335415336 is an apocalyptic number.

42335415336 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42335415336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55983312000).

42335415336 is an abundant number, since it is smaller than the sum of its proper divisors (69631208664).

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

42335415336 is a wasteful number, since it uses less digits than its factorization.

42335415336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2323 (or 2319 counting only the distinct ones).

The product of its digits is 388800, while the sum is 39.

The spelling of 42335415336 in words is "forty-two billion, three hundred thirty-five million, four hundred fifteen thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 89 92 138 178 184 267 276 356 509 534 552 712 1018 1068 1527 1693 2036 2047 2136 3054 3386 4072 4094 5079 6108 6141 6772 8188 10158 11707 12216 12282 13544 16376 20316 23414 24564 35121 38939 40632 45301 46828 49128 70242 77878 90602 93656 116817 135903 140484 150677 155756 181204 233634 271806 280968 301354 311512 362408 452031 467268 543612 602708 861737 904062 934536 1041923 1087224 1205416 1723474 1808124 2083846 2585211 3125769 3446948 3465571 3616248 4167692 5170422 6251538 6893896 6931142 8335384 10340844 10396713 12503076 13862284 19819951 20681688 20793426 25006152 27724568 39639902 41586852 59459853 76694593 79279804 83173704 118919706 153389186 158559608 230083779 237839412 306778372 460167558 475678824 613556744 920335116 1763975639 1840670232 3527951278 5291926917 7055902556 10583853834 14111805112 21167707668 42335415336