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132453666642 = 231121018392153
BaseRepresentation
bin111101101011011011…
…0101000111101010010
3110122212220221102111010
41323112312220331102
54132231114313032
6140503125431350
712366216406263
oct1732666507522
9418786842433
10132453666642
115119a707200
122180656b556
13c64b33079b
1465a72d896a
1536a348accc
hex1ed6da8f52

132453666642 has 96 divisors (see below), whose sum is σ = 294549333120. Its totient is φ = 39674272000.

The previous prime is 132453666641. The next prime is 132453666649. The reversal of 132453666642 is 246666354231.

It is a junction number, because it is equal to n+sod(n) for n = 132453666591 and 132453666600.

It is not an unprimeable number, because it can be changed into a prime (132453666641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61519438 + ... + 61521590.

It is an arithmetic number, because the mean of its divisors is an integer number (3068222220).

Almost surely, 2132453666642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132453666642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147274666560).

132453666642 is an abundant number, since it is smaller than the sum of its proper divisors (162095666478).

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

132453666642 is a wasteful number, since it uses less digits than its factorization.

132453666642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3120 (or 3109 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 48.

The spelling of 132453666642 in words is "one hundred thirty-two billion, four hundred fifty-three million, six hundred sixty-six thousand, six hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 101 121 202 242 303 363 606 726 839 1111 1678 2153 2222 2517 3333 4306 5034 6459 6666 9229 12221 12918 18458 23683 24442 27687 36663 47366 55374 71049 73326 84739 101519 142098 169478 203038 217453 254217 260513 304557 434906 508434 521026 609114 652359 781539 932129 1304718 1563078 1806367 1864258 2391983 2796387 3612734 4783966 5419101 5592774 7175949 10253419 10838202 14351898 19870037 20506838 26311813 30760257 39740074 52623626 59610111 61520514 78935439 119220222 157870878 182443067 218570407 364886134 437140814 547329201 655711221 1094658402 1311422442 2006873737 4013747474 6020621211 12041242422 22075611107 44151222214 66226833321 132453666642