Search a number
-
+
132722852256768 = 21031916713616153
BaseRepresentation
bin11110001011010111110010…
…011101100101110000000000
3122101221011212202220110110010
4132023113302131211300000
5114344012400134204033
61150140011523304520
736645624002052414
oct3613276235456000
9571834782813403
10132722852256768
113932049a026424
1212a766b281b140
1359099328569c7
1424abb6ad82d44
15105265c9a7863
hex78b5f2765c00

132722852256768 has 176 divisors, whose sum is σ = 374603271678720. Its totient is φ = 41661503668224.

The previous prime is 132722852256727. The next prime is 132722852256769. The reversal of 132722852256768 is 867652258227231.

It is a super-2 number, since 2×1327228522567682 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132722852256699 and 132722852256708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132722852256769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2939380 + ... + 16555532.

Almost surely, 2132722852256768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132722852256768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187301635839360).

132722852256768 is an abundant number, since it is smaller than the sum of its proper divisors (241880419421952).

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

132722852256768 is a wasteful number, since it uses less digits than its factorization.

132722852256768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13616362 (or 13616344 counting only the distinct ones).

The product of its digits is 270950400, while the sum is 66.

The spelling of 132722852256768 in words is "one hundred thirty-two trillion, seven hundred twenty-two billion, eight hundred fifty-two million, two hundred fifty-six thousand, seven hundred sixty-eight".