Search a number
-
+
166351013235000 = 233254111013327353
BaseRepresentation
bin100101110100101110011101…
…000011010100100100111000
3210211000000001010120110122100
4211310232131003110210320
5133300443333342010000
61345444333412023400
750016315120103266
oct4564563503244470
9724000033513570
10166351013235000
1149006083233480
12167a7b35901b60
1371a8aaa814b79
142d116095a1436
1514372892a6a00
hex974b9d0d4938

166351013235000 has 480 divisors, whose sum is σ = 620248997974320. Its totient is φ = 39928224000000.

The previous prime is 166351013234999. The next prime is 166351013235023. The reversal of 166351013235000 is 532310153661.

166351013235000 is a `hidden beast` number, since 1 + 6 + 6 + 3 + 5 + 10 + 132 + 3 + 500 + 0 = 666.

It is a super-2 number, since 2×1663510132350002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 48331324 + ... + 51658676.

Almost surely, 2166351013235000 is an apocalyptic number.

166351013235000 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 166351013235000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310124498987160).

166351013235000 is an abundant number, since it is smaller than the sum of its proper divisors (453897984739320).

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

166351013235000 is a wasteful number, since it uses less digits than its factorization.

166351013235000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3327497 (or 3327475 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

Adding to 166351013235000 its reverse (532310153661), we get a palindrome (166883323388661).

The spelling of 166351013235000 in words is "one hundred sixty-six trillion, three hundred fifty-one billion, thirteen million, two hundred thirty-five thousand".