Search a number
-
+
132267092332608 = 26332343791974973
BaseRepresentation
bin11110000100101111010101…
…000011011101000001000000
3122100022121111002012110022000
4132010233111003131001000
5114314031001114120413
61145150355142344000
736600660564450012
oct3604572503350100
9570277432173260
10132267092332608
1139165182475782
1212a022b972b000
1358a596c0593cc
142493a934d61b2
151045885c05073
hex784bd50dd040

132267092332608 has 896 divisors, whose sum is σ = 422657508556800. Its totient is φ = 40455376625664.

The previous prime is 132267092332601. The next prime is 132267092332633. The reversal of 132267092332608 is 806233290762231.

It is a happy number.

132267092332608 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 6 + 7 + 0 + 9 + 23 + 3 + 2 + 608 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (132267092332601) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26597040010 + ... + 26597044982.

Almost surely, 2132267092332608 is an apocalyptic number.

132267092332608 is a gapful number since it is divisible by the number (18) 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 132267092332608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211328754278400).

132267092332608 is an abundant number, since it is smaller than the sum of its proper divisors (290390416224192).

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

132267092332608 is a wasteful number, since it uses less digits than its factorization.

132267092332608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5336 (or 5320 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 132267092332608 in words is "one hundred thirty-two trillion, two hundred sixty-seven billion, ninety-two million, three hundred thirty-two thousand, six hundred eight".