Search a number
-
+
132850166143680 = 263352319316272129
BaseRepresentation
bin11110001101001110010110…
…111101100001101011000000
3122102101100111111110000122000
4132031032112331201223000
5114403104120013044210
61150314305045544000
736661051651202316
oct3615162675415300
9572340444400560
10132850166143680
113936a491433a87
1212a97303a15000
1359189420978bb
1424b3da77d20b6
151055b0eacaac0
hex78d396f61ac0

132850166143680 has 896 divisors, whose sum is σ = 492109714483200. Its totient is φ = 33674297868288.

The previous prime is 132850166143649. The next prime is 132850166143693. The reversal of 132850166143680 is 86341661058231.

It is a happy number.

132850166143680 is a `hidden beast` number, since 1 + 3 + 2 + 8 + 5 + 0 + 16 + 614 + 3 + 6 + 8 + 0 = 666.

132850166143680 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 62400264856 + ... + 62400266984.

Almost surely, 2132850166143680 is an apocalyptic number.

132850166143680 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 132850166143680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246054857241600).

132850166143680 is an abundant number, since it is smaller than the sum of its proper divisors (359259548339520).

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

132850166143680 is a wasteful number, since it uses less digits than its factorization.

132850166143680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3998 (or 3982 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 132850166143680 in words is "one hundred thirty-two trillion, eight hundred fifty billion, one hundred sixty-six million, one hundred forty-three thousand, six hundred eighty".