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12532375166004 = 22326717347962701
BaseRepresentation
bin1011011001011110101111…
…0001010001110000110100
31122101002020202212122122100
42312113223301101300310
53120312301020303004
642353143233302100
72432301640163061
oct266275361216064
948332222778570
1012532375166004
113aa1a50076741
1214a4a37104930
136cba4b004905
143147da883c68
1516aee0e4a739
hexb65ebc51c34

12532375166004 has 144 divisors (see below), whose sum is σ = 32405757995520. Its totient is φ = 4082715014400.

The previous prime is 12532375165987. The next prime is 12532375166089. The reversal of 12532375166004 is 40066157323521.

12532375166004 is a `hidden beast` number, since 1 + 2 + 5 + 3 + 2 + 37 + 5 + 1 + 6 + 600 + 4 = 666.

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 47 ways as a sum of consecutive naturals, for example, 199843854 + ... + 199906554.

It is an arithmetic number, because the mean of its divisors is an integer number (225039986080).

Almost surely, 212532375166004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12532375166004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16202878997760).

12532375166004 is an abundant number, since it is smaller than the sum of its proper divisors (19873382829516).

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

12532375166004 is a wasteful number, since it uses less digits than its factorization.

12532375166004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63430 (or 63425 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 12532375166004 in words is "twelve trillion, five hundred thirty-two billion, three hundred seventy-five million, one hundred sixty-six thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 67 134 173 201 268 346 402 479 519 603 692 804 958 1038 1206 1437 1557 1916 2076 2412 2874 3114 4311 5748 6228 8622 11591 17244 23182 32093 34773 46364 62701 64186 69546 82867 96279 104319 125402 128372 139092 165734 188103 192558 208638 248601 250804 288837 331468 376206 385116 417276 497202 564309 577674 745803 752412 994404 1128618 1155348 1491606 2257236 2983212 4200967 5552089 8401934 10847273 11104178 12602901 16656267 16803868 21694546 22208356 25205802 30033779 32541819 33312534 37808703 43389092 49968801 50411604 60067558 65083638 66625068 75617406 90101337 97625457 99937602 120135116 130167276 151234812 180202674 195250914 199875204 270304011 360405348 390501828 540608022 726767291 1081216044 1453534582 2012263193 2180301873 2907069164 4024526386 4360603746 5195843767 6036789579 6540905619 8049052772 8721207492 10391687534 12073579158 13081811238 15587531301 18110368737 20783375068 24147158316 26163622476 31175062602 36220737474 46762593903 62350125204 72441474948 93525187806 187050375612 348121532389 696243064778 1044364597167 1392486129556 2088729194334 3133093791501 4177458388668 6266187583002 12532375166004