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16442346002742 = 23211484791712951
BaseRepresentation
bin1110111101000100100000…
…1100010101100100110110
32011012212120100210222222100
43233101020030111210312
54123342411034041432
654545302014042530
73314630443010442
oct357211014254466
964185510728870
1016442346002742
11526a183738450
121a167784a9446
13923677c39bba
1440bb57093822
151d7a8321807c
hexef448315936

16442346002742 has 48 divisors (see below), whose sum is σ = 38864551265280. Its totient is φ = 4982423406000.

The previous prime is 16442346002723. The next prime is 16442346002779. The reversal of 16442346002742 is 24720064324461.

16442346002742 is a `hidden beast` number, since 1 + 6 + 4 + 4 + 2 + 34 + 600 + 2 + 7 + 4 + 2 = 666.

It is a super-3 number, since 3×164423460027423 (a number of 41 digits) contains 333 as substring.

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, 8742367 + ... + 10455317.

It is an arithmetic number, because the mean of its divisors is an integer number (809678151360).

Almost surely, 216442346002742 is an apocalyptic number.

16442346002742 is an abundant number, since it is smaller than the sum of its proper divisors (22422205262538).

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

16442346002742 is a wasteful number, since it uses less digits than its factorization.

16442346002742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1761449 (or 1761446 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 45.

The spelling of 16442346002742 in words is "sixteen trillion, four hundred forty-two billion, three hundred forty-six million, two thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 48479 96958 145437 290874 436311 533269 872622 1066538 1599807 1712951 3199614 3425902 4799421 5138853 9598842 10277706 15416559 18842461 30833118 37684922 56527383 113054766 169582149 339164298 83042151529 166084303058 249126454587 498252909174 747379363761 913463666819 1494758727522 1826927333638 2740391000457 5480782000914 8221173001371 16442346002742