Search a number
-
+
132656523266532 = 2233710719931401053
BaseRepresentation
bin11110001010011010000000…
…111100100100100111100100
3122101200211200012012122021010
4132022122000330210213210
5114341421024424012112
61150045322051022220
736641055211665216
oct3612320074444744
9571624605178233
10132656523266532
11392a5352043321
1212a6588129a970
1359035c1b227a5
1424a8877b225b6
151050a797d363c
hex78a680f249e4

132656523266532 has 96 divisors (see below), whose sum is σ = 321029846992512. Its totient is φ = 42600230194176.

The previous prime is 132656523266503. The next prime is 132656523266543. The reversal of 132656523266532 is 235662325656231.

It is a happy number.

132656523266532 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1326565232665322 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93982918 + ... + 95383970.

It is an arithmetic number, because the mean of its divisors is an integer number (3344060906172).

Almost surely, 2132656523266532 is an apocalyptic number.

132656523266532 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132656523266532 is an abundant number, since it is smaller than the sum of its proper divisors (188373323725980).

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

132656523266532 is a wasteful number, since it uses less digits than its factorization.

132656523266532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1403197 (or 1403195 counting only the distinct ones).

The product of its digits is 69984000, while the sum is 57.

The spelling of 132656523266532 in words is "one hundred thirty-two trillion, six hundred fifty-six billion, five hundred twenty-three million, two hundred sixty-six thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 12 37 74 107 111 148 214 222 321 428 444 642 1284 1993 3959 3986 5979 7918 7972 11877 11958 15836 23754 23916 47508 73741 147482 213251 221223 294964 426502 442446 639753 853004 884892 1279506 1401053 2559012 2802106 4203159 5604212 7890287 8406318 15780574 16812636 23670861 31561148 47341722 51838961 94683444 103677922 149912671 155516883 207355844 299825342 311033766 449738013 599650684 622067532 899476026 1798952052 2792298629 5546768827 5584597258 8376895887 11093537654 11169194516 16640306481 16753791774 22187075308 33280612962 33507583548 66561225924 103315049273 206630098546 298775953303 309945147819 413260197092 597551906606 619890295638 896327859909 1195103813212 1239780591276 1792655719818 3585311439636 11054710272211 22109420544422 33164130816633 44218841088844 66328261633266 132656523266532