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1682391061620 = 223451954658579
BaseRepresentation
bin11000011110110110010…
…100100101010001110100
312221211112201121001220000
4120132312110211101310
5210031014102432440
63324514011111300
7232356135033543
oct30366624452164
95854481531800
101682391061620
11599552992555
12232085442530
13c28585371c9
145b5dcc3a15a
152db69960730
hex187b6525474

1682391061620 has 120 divisors (see below), whose sum is σ = 5555498071200. Its totient is φ = 425025102528.

The previous prime is 1682391061619. The next prime is 1682391061721. The reversal of 1682391061620 is 261601932861.

1682391061620 is a `hidden beast` number, since 1 + 6 + 8 + 2 + 3 + 9 + 1 + 0 + 616 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 27298510 + ... + 27360069.

It is an arithmetic number, because the mean of its divisors is an integer number (46295817260).

Almost surely, 21682391061620 is an apocalyptic number.

1682391061620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1682391061620 is an abundant number, since it is smaller than the sum of its proper divisors (3873107009580).

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

1682391061620 is a wasteful number, since it uses less digits than its factorization.

1682391061620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54658619 (or 54658608 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 1682391061620 in words is "one trillion, six hundred eighty-two billion, three hundred ninety-one million, sixty-one thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 27 30 36 38 45 54 57 60 76 81 90 95 108 114 135 162 171 180 190 228 270 285 324 342 380 405 513 540 570 684 810 855 1026 1140 1539 1620 1710 2052 2565 3078 3420 5130 6156 7695 10260 15390 30780 54658579 109317158 163975737 218634316 273292895 327951474 491927211 546585790 655902948 819878685 983854422 1038513001 1093171580 1475781633 1639757370 1967708844 2077026002 2459636055 2951563266 3115539003 3279514740 4154052004 4427344899 4919272110 5192565005 5903126532 6231078006 7378908165 8854689798 9346617009 9838544220 10385130010 12462156012 14757816330 15577695015 17709379596 18693234018 20770260020 22136724495 28039851027 29515632660 31155390030 37386468036 44273448990 46733085045 56079702054 62310780060 84119553081 88546897980 93466170090 112159404108 140199255135 168239106162 186932340180 280398510270 336478212324 420597765405 560797020540 841195530810 1682391061620