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74074078148148 = 2232131543211025641
BaseRepresentation
bin10000110101111010110111…
…000111010111011000110100
3100201021102010212102022011100
4100311322313013113120310
534202112203001220043
6421313054533210100
721413450465353431
oct2065726707273064
9321242125368140
1074074078148148
1121669705009931
128384076a90930
133244203b009a0
1414412c1274b88
15886c84121cd3
hex435eb71d7634

74074078148148 has 72 divisors (see below), whose sum is σ = 201647604898376. Its totient is φ = 22791854131200.

The previous prime is 74074078148137. The next prime is 74074078148221. The reversal of 74074078148148 is 84184187047047.

74074078148148 is a `hidden beast` number, since 7 + 4 + 0 + 7 + 40 + 78 + 1 + 481 + 48 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7985665595664 + 66088412552484 = 2825892^2 + 8129478^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71709408 + ... + 72735048.

Almost surely, 274074078148148 is an apocalyptic number.

74074078148148 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

74074078148148 is an abundant number, since it is smaller than the sum of its proper divisors (127573526750228).

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

74074078148148 is a wasteful number, since it uses less digits than its factorization.

74074078148148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1179985 (or 1179980 counting only the distinct ones).

The product of its (nonzero) digits is 44957696, while the sum is 63.

The spelling of 74074078148148 in words is "seventy-four trillion, seventy-four billion, seventy-eight million, one hundred forty-eight thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 154321 308642 462963 617284 925926 1025641 1388889 1851852 2006173 2051282 2777778 3076923 4012346 4102564 5555556 6018519 6153846 8024692 9230769 12037038 12307692 13333333 18055557 18461538 24074076 26666666 36111114 36923076 39999999 53333332 72222228 79999998 119999997 159999996 239999994 479999988 158277944761 316555889522 474833834283 633111779044 949667668566 1424501502849 1899335337132 2057613281893 2849003005698 4115226563786 5698006011396 6172839845679 8230453127572 12345679691358 18518519537037 24691359382716 37037039074074 74074078148148