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16442020305630 = 2325199979644149
BaseRepresentation
bin1110111101000011010011…
…0001111001101011011110
32011012211201122221212112100
43233100310301321223132
54123341224144240010
654545205421145530
73314616406433253
oct357206461715336
964184648855470
1016442020305630
11526a026902387
121a166a73bb2a6
1392362561280a
1440bb25b1142a
151d7a648302c0
hexef434c79ade

16442020305630 has 96 divisors (see below), whose sum is σ = 45044352756000. Its totient is φ = 4149606848256.

The previous prime is 16442020305619. The next prime is 16442020305647. The reversal of 16442020305630 is 3650302024461.

16442020305630 is a `hidden beast` number, since 1 + 6 + 4 + 42 + 0 + 20 + 30 + 563 + 0 = 666.

It is a super-3 number, since 3×164420203056303 (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 47 ways as a sum of consecutive naturals, for example, 3117205 + ... + 6526944.

It is an arithmetic number, because the mean of its divisors is an integer number (469212007875).

Almost surely, 216442020305630 is an apocalyptic number.

16442020305630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

16442020305630 is an abundant number, since it is smaller than the sum of its proper divisors (28602332450370).

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

16442020305630 is a wasteful number, since it uses less digits than its factorization.

16442020305630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9645178 (or 9645175 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 16442020305630 in words is "sixteen trillion, four hundred forty-two billion, twenty million, three hundred five thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 285 342 570 855 997 1710 1994 2991 4985 5982 8973 9970 14955 17946 18943 29910 37886 44865 56829 89730 94715 113658 170487 189430 284145 340974 568290 852435 1704870 9644149 19288298 28932447 48220745 57864894 86797341 96441490 144662235 173594682 183238831 289324470 366477662 433986705 549716493 867973410 916194155 1099432986 1649149479 1832388310 2748582465 3298298958 5497164930 8245747395 9615216553 16491494790 19230433106 28845649659 48076082765 57691299318 86536948977 96152165530 144228248295 173073897954 182689114507 288456496590 365378229014 432684744885 548067343521 865369489770 913445572535 1096134687042 1644202030563 1826891145070 2740336717605 3288404061126 5480673435210 8221010152815 16442020305630