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42325346336 = 2571334941647
BaseRepresentation
bin100111011010110010…
…011000100000100000
311001020201121100222212
4213122302120200200
51143140242040321
631235523021252
73025601336120
oct473262304040
9131221540885
1042325346336
1116a4a611179
12825280a828
133cb6a60440
142097356c80
15117ac1355b
hex9dac98820

42325346336 has 96 divisors (see below), whose sum is σ = 102853900800. Its totient is φ = 16695714816.

The previous prime is 42325346293. The next prime is 42325346341. The reversal of 42325346336 is 63364352324.

It is a junction number, because it is equal to n+sod(n) for n = 42325346293 and 42325346302.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 995465 + ... + 1037111.

It is an arithmetic number, because the mean of its divisors is an integer number (1071394800).

Almost surely, 242325346336 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 42325346336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51426950400).

42325346336 is an abundant number, since it is smaller than the sum of its proper divisors (60528554464).

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

42325346336 is a wasteful number, since it uses less digits than its factorization.

42325346336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42026 (or 42018 counting only the distinct ones).

The product of its digits is 933120, while the sum is 41.

The spelling of 42325346336 in words is "forty-two billion, three hundred twenty-five million, three hundred forty-six thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 349 364 416 698 728 1396 1456 2443 2792 2912 4537 4886 5584 9074 9772 11168 18148 19544 31759 36296 39088 41647 63518 72592 78176 83294 127036 145184 166588 254072 291529 333176 508144 541411 583058 666352 1016288 1082822 1166116 1332704 2165644 2332232 3789877 4331288 4664464 7579754 8662576 9328928 14534803 15159508 17325152 29069606 30319016 58139212 60638032 101743621 116278424 121276064 188952439 203487242 232556848 377904878 406974484 465113696 755809756 813948968 1322667073 1511619512 1627897936 2645334146 3023239024 3255795872 5290668292 6046478048 10581336584 21162673168 42325346336