Search a number
-
+
132656146636440 = 233571713859670297
BaseRepresentation
bin11110001010011001101010…
…011111110101111010011000
3122101200210200221111211220110
4132022121222133311322120
5114341414242014331230
61150045220434324320
736641042656456260
oct3612315237657230
9571623627454813
10132656146636440
11392a517948a589
1212a657971296a0
135903561aa444b
1424a883dac27a0
151050a566d94b0
hex78a66a7f5e98

132656146636440 has 256 divisors, whose sum is σ = 481610721715200. Its totient is φ = 28535691165696.

The previous prime is 132656146636421. The next prime is 132656146636441. The reversal of 132656146636440 is 44636641656231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132656146636441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 197571372 + ... + 198241668.

It is an arithmetic number, because the mean of its divisors is an integer number (1881291881700).

Almost surely, 2132656146636440 is an apocalyptic number.

132656146636440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132656146636440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240805360857600).

132656146636440 is an abundant number, since it is smaller than the sum of its proper divisors (348954575078760).

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

132656146636440 is a wasteful number, since it uses less digits than its factorization.

132656146636440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684194 (or 684190 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 57.

The spelling of 132656146636440 in words is "one hundred thirty-two trillion, six hundred fifty-six billion, one hundred forty-six million, six hundred thirty-six thousand, four hundred forty".