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2083795054902 = 2331143701116381
BaseRepresentation
bin11110010100101011110…
…111010011000100110110
321101012122021000200121000
4132110223313103010312
5233120103013224102
64233140543504130
7303356245501461
oct36245367230466
97335567020530
102083795054902
11733806a90880
12297a2a8b8046
131216689c17b2
1472bdb6702d8
153930e73c01c
hex1e52bdd3136

2083795054902 has 128 divisors (see below), whose sum is σ = 5176522391040. Its totient is φ = 615882960000.

The previous prime is 2083795054877. The next prime is 2083795054919. The reversal of 2083795054902 is 2094505973802.

2083795054902 is a `hidden beast` number, since 2 + 0 + 8 + 3 + 7 + 95 + 0 + 549 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17846752 + ... + 17963132.

It is an arithmetic number, because the mean of its divisors is an integer number (40441581180).

Almost surely, 22083795054902 is an apocalyptic number.

2083795054902 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2083795054902, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2588261195520).

2083795054902 is an abundant number, since it is smaller than the sum of its proper divisors (3092727336138).

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

2083795054902 is a wasteful number, since it uses less digits than its factorization.

2083795054902 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117147 (or 117141 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 2083795054902 in words is "two trillion, eighty-three billion, seven hundred ninety-five million, fifty-four thousand, nine hundred two".

Divisors: 1 2 3 6 9 11 18 22 27 33 43 54 66 86 99 129 198 258 297 387 473 594 701 774 946 1161 1402 1419 2103 2322 2838 4206 4257 6309 7711 8514 12618 12771 15422 18927 23133 25542 30143 37854 46266 60286 69399 90429 116381 138798 180858 208197 232762 271287 331573 349143 416394 542574 663146 698286 813861 994719 1047429 1280191 1627722 1989438 2094858 2560382 2984157 3142287 3840573 5004383 5968314 6284574 7681146 8952471 10008766 11521719 15013149 17904942 23043438 30026298 34565157 45039447 55048213 69130314 81583081 90078894 110096426 135118341 163166162 165144639 244749243 270236682 330289278 489498486 495433917 734247729 897413891 990867834 1468495458 1486301751 1794827782 2202743187 2692241673 2972603502 3508072483 4405486374 5384483346 7016144966 8076725019 10524217449 16153450038 21048434898 24230175057 31572652347 38588797313 48460350114 63145304694 77177594626 94717957041 115766391939 189435914082 231532783878 347299175817 694598351634 1041897527451 2083795054902