Search a number
-
+
132812138606661 = 354119316903437
BaseRepresentation
bin11110001100101010111100…
…010101111111000001000101
3122102020201100021220222200000
4132030222330111333001011
5114401443224440403121
61150245015411511513
736655234414363413
oct3614527425770105
9572221307828600
10132812138606661
1139355347924638
1212a8ba705b8599
13591519186a7c7
1424b21db1922b3
151054b36367526
hex78cabc57f045

132812138606661 has 48 divisors (see below), whose sum is σ = 203902816598208. Its totient is φ = 86337131990400.

The previous prime is 132812138606647. The next prime is 132812138606677. The reversal of 132812138606661 is 166606831218231.

It is a happy number.

It is not a de Polignac number, because 132812138606661 - 219 = 132812138082373 is a prime.

It is a super-2 number, since 2×1328121386066612 (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 132812138606598 and 132812138606607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132812138606761) 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, 15786835 + ... + 22690271.

It is an arithmetic number, because the mean of its divisors is an integer number (4247975345796).

Almost surely, 2132812138606661 is an apocalyptic number.

It is an amenable number.

132812138606661 is a deficient number, since it is larger than the sum of its proper divisors (71090677991547).

132812138606661 is an equidigital number, since it uses as much as digits as its factorization.

132812138606661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6905424 (or 6905412 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 132812138606661 in words is "one hundred thirty-two trillion, eight hundred twelve billion, one hundred thirty-eight million, six hundred six thousand, six hundred sixty-one".

Divisors: 1 3 9 27 41 81 123 243 369 1107 1931 3321 5793 9963 17379 52137 79171 156411 237513 469233 712539 2137617 6412851 6903437 19238553 20710311 62130933 186392799 283040917 559178397 849122751 1677535191 2547368253 7642104759 13330536847 22926314277 39991610541 68778942831 119974831623 359924494869 546552010727 1079773484607 1639656032181 3239320453821 4918968096543 14756904289629 44270712868887 132812138606661