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42096633396 = 223193141145267
BaseRepresentation
bin100111001101001001…
…111010011000110100
311000122210020112211020
4213031021322120310
51142203214232041
631201112541140
73020123323416
oct471511723064
9130583215736
1042096633396
11169424a7814
1281aa0b17b0
133c7b561c3c
142074c1c9b6
151165ad6866
hex9cd27a634

42096633396 has 96 divisors (see below), whose sum is σ = 109334507520. Its totient is φ = 12550982400.

The previous prime is 42096633391. The next prime is 42096633431. The reversal of 42096633396 is 69333669024.

42096633396 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42096633391) 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, 217155 + ... + 362421.

It is an arithmetic number, because the mean of its divisors is an integer number (1138901120).

Almost surely, 242096633396 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 42096633396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54667253760).

42096633396 is an abundant number, since it is smaller than the sum of its proper divisors (67237874124).

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

42096633396 is a wasteful number, since it uses less digits than its factorization.

42096633396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145365 (or 145363 counting only the distinct ones).

The product of its (nonzero) digits is 3779136, while the sum is 51.

The spelling of 42096633396 in words is "forty-two billion, ninety-six million, six hundred thirty-three thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 12 19 31 38 41 57 62 76 82 93 114 123 124 164 186 228 246 372 492 589 779 1178 1271 1558 1767 2337 2356 2542 3116 3534 3813 4674 5084 7068 7626 9348 15252 24149 48298 72447 96596 144894 145267 289788 290534 435801 581068 871602 1743204 2760073 4503277 5520146 5955947 8280219 9006554 11040292 11911894 13509831 16560438 17867841 18013108 23823788 27019662 33120876 35735682 54039324 71471364 85562263 113162993 171124526 184634357 226325986 256686789 339488979 342249052 369268714 452651972 513373578 553903071 678977958 738537428 1026747156 1107806142 1357955916 2215612284 3508052783 7016105566 10524158349 14032211132 21048316698 42096633396