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132640453566 = 2322324111532
BaseRepresentation
bin111101110000111111…
…1001011001110111110
3110200100221102011222100
41323201333023032332
54133121424003231
6140533441125530
712403645152465
oct1734177131676
9420327364870
10132640453566
1151286094a65
12218590298a6
13c67ac3c8aa
1465c403b9dc
1536b4a851e6
hex1ee1fcb3be

132640453566 has 72 divisors (see below), whose sum is σ = 301388486256. Its totient is φ = 42079150080.

The previous prime is 132640453537. The next prime is 132640453567. The reversal of 132640453566 is 665354046231.

132640453566 is a `hidden beast` number, since 1 + 3 + 2 + 6 + 40 + 45 + 3 + 566 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132640453567) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 115038846 + ... + 115039998.

It is an arithmetic number, because the mean of its divisors is an integer number (4185951198).

Almost surely, 2132640453566 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132640453566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150694243128).

132640453566 is an abundant number, since it is smaller than the sum of its proper divisors (168748032690).

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

132640453566 is a wasteful number, since it uses less digits than its factorization.

132640453566 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2578 (or 1422 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

Adding to 132640453566 its reverse (665354046231), we get a palindrome (797994499797).

The spelling of 132640453566 in words is "one hundred thirty-two billion, six hundred forty million, four hundred fifty-three thousand, five hundred sixty-six".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 241 414 482 723 1153 1446 2169 2306 3459 4338 5543 6918 10377 11086 16629 20754 26519 33258 49887 53038 79557 99774 159114 238671 277873 477342 555746 833619 1329409 1667238 2500857 2658818 3988227 5001714 6391079 7976454 11964681 12782158 19173237 23929362 30576407 38346474 57519711 61152814 91729221 115039422 183458442 275187663 320387569 550375326 640775138 961162707 1922325414 2883488121 5766976242 7368914087 14737828174 22106742261 44213484522 66320226783 132640453566