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2074707568104 = 23331229117110399
BaseRepresentation
bin11110001100001110001…
…101010010010111101000
321100100011221022112020220
4132030032031102113220
5232443000114134404
64225035115250040
7302615121233043
oct36141615222750
97310157275226
102074707568104
1172a973375506
12296113449920
1312084b08c482
14725b87a3c5a
1538e7ba2d4d9
hex1e30e3525e8

2074707568104 has 128 divisors (see below), whose sum is σ = 5382574080000. Its totient is φ = 665704915200.

The previous prime is 2074707568103. The next prime is 2074707568111. The reversal of 2074707568104 is 4018657074702.

It is a super-2 number, since 2×20747075681042 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2074707568103) 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, 199505097 + ... + 199515495.

It is an arithmetic number, because the mean of its divisors is an integer number (42051360000).

Almost surely, 22074707568104 is an apocalyptic number.

2074707568104 is a gapful number since it is divisible by the number (24) 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 2074707568104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2691287040000).

2074707568104 is an abundant number, since it is smaller than the sum of its proper divisors (3307866511896).

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

2074707568104 is a wasteful number, since it uses less digits than its factorization.

2074707568104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11839 (or 11835 counting only the distinct ones).

The product of its (nonzero) digits is 2634240, while the sum is 51.

The spelling of 2074707568104 in words is "two trillion, seventy-four billion, seven hundred seven million, five hundred sixty-eight thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 229 248 372 458 687 744 916 1171 1374 1832 2342 2748 3513 4684 5496 7026 7099 9368 10399 14052 14198 20798 21297 28104 28396 31197 36301 41596 42594 56792 62394 72602 83192 85188 108903 124788 145204 170376 217806 249576 268159 290408 322369 435612 536318 644738 804477 871224 967107 1072636 1289476 1608954 1934214 2145272 2381371 2578952 3217908 3868428 4762742 6435816 7144113 7736856 8312929 9525484 12177229 14288226 16625858 19050968 24354458 24938787 28576452 33251716 36531687 48708916 49877574 57152904 66503432 73063374 73822501 97417832 99755148 146126748 147645002 199510296 221467503 292253496 295290004 377494099 442935006 590580008 754988198 885870012 1132482297 1509976396 1771740024 2264964594 2788585441 3019952792 4529929188 5577170882 8365756323 9059858376 11154341764 16731512646 22308683528 33463025292 66926050584 86446148671 172892297342 259338446013 345784594684 518676892026 691569189368 1037353784052 2074707568104