Search a number
-
+
132180830266368 = 210313313722912601
BaseRepresentation
bin11110000011011110111111…
…011011110010010000000000
3122100000100211022220110022210
4132003132333123302100000
5114311122320022010433
61145043011331102120
736561515124131352
oct3603367733622000
9570010738813283
10132180830266368
1139131636813644
12129a9644741940
13589a7a277cc70
14248d82cc110d2
1510434d7ad4463
hex7837bf6f2400

132180830266368 has 704 divisors, whose sum is σ = 404023620331520. Its totient is φ = 38125043712000.

The previous prime is 132180830266301. The next prime is 132180830266391. The reversal of 132180830266368 is 863662038081231.

It is a super-2 number, since 2×1321808302663682 (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 63 ways as a sum of consecutive naturals, for example, 10489703268 + ... + 10489715868.

Almost surely, 2132180830266368 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 132180830266368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202011810165760).

132180830266368 is an abundant number, since it is smaller than the sum of its proper divisors (271842790065152).

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

132180830266368 is a wasteful number, since it uses less digits than its factorization.

132180830266368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12934 (or 12916 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 57.

The spelling of 132180830266368 in words is "one hundred thirty-two trillion, one hundred eighty billion, eight hundred thirty million, two hundred sixty-six thousand, three hundred sixty-eight".