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2125166034420 = 22325111382562783
BaseRepresentation
bin11110111011001101110…
…001000011110111110100
321112011102110211012102200
4132323031301003313310
5234304320001100140
64304142055304500
7306352411146222
oct36731561036764
97464373735380
102125166034420
1174a306907040
122a3a5597b130
1312552cb01630
1474c03d57b12
153a431785030
hex1eecdc43df4

2125166034420 has 144 divisors (see below), whose sum is σ = 7573319050752. Its totient is φ = 475561624320.

The previous prime is 2125166034419. The next prime is 2125166034443. The reversal of 2125166034420 is 244306615212.

2125166034420 is a `hidden beast` number, since 2 + 1 + 2 + 5 + 1 + 6 + 603 + 4 + 42 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 41255652 + ... + 41307131.

It is an arithmetic number, because the mean of its divisors is an integer number (52592493408).

Almost surely, 22125166034420 is an apocalyptic number.

2125166034420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2125166034420 is an abundant number, since it is smaller than the sum of its proper divisors (5448153016332).

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

2125166034420 is a wasteful number, since it uses less digits than its factorization.

2125166034420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82562822 (or 82562817 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 2125166034420 in words is "two trillion, one hundred twenty-five billion, one hundred sixty-six million, thirty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 13 15 18 20 22 26 30 33 36 39 44 45 52 55 60 65 66 78 90 99 110 117 130 132 143 156 165 180 195 198 220 234 260 286 330 390 396 429 468 495 572 585 660 715 780 858 990 1170 1287 1430 1716 1980 2145 2340 2574 2860 4290 5148 6435 8580 12870 25740 82562783 165125566 247688349 330251132 412813915 495376698 743065047 825627830 908190613 990753396 1073316179 1238441745 1486130094 1651255660 1816381226 2146632358 2476883490 2724571839 2972260188 3219948537 3632762452 3715325235 4293264716 4540953065 4953766980 5366580895 5449143678 6439897074 7430650470 8173715517 9081906130 9659845611 10733161790 10898287356 11806477969 12879794148 13622859195 14861300940 16099742685 16347431034 18163812260 19319691222 21466323580 23612955938 27245718390 32199485370 32694862068 35419433907 38639382444 40868577585 47225911876 48299228055 54491436780 59032389845 64398970740 70838867814 81737155170 96598456110 106258301721 118064779690 141677735628 163474310340 177097169535 193196912220 212516603442 236129559380 354194339070 425033206884 531291508605 708388678140 1062583017210 2125166034420