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168065469000 = 2333531113192979
BaseRepresentation
bin1001110010000101111…
…0111000101001001000
3121001210202211102111000
42130201132320221020
510223144230002000
6205112550135000
715066550626042
oct2344136705110
9531722742430
10168065469000
1165304637420
12286a4951460
1312b052230a0
1481c4b80a92
154589abb000
hex27217b8a48

168065469000 has 2048 divisors, whose sum is σ = 754790400000. Its totient is φ = 33965568000.

The previous prime is 168065468999. The next prime is 168065469007. The reversal of 168065469000 is 964560861.

168065469000 = 703 + 713 + ... + 9053.

168065469000 is a `hidden beast` number, since 16 + 8 + 0 + 6 + 546 + 90 + 0 + 0 = 666.

It is a super-2 number, since 2×1680654690002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (168065469007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 2127410961 + ... + 2127411039.

It is an arithmetic number, because the mean of its divisors is an integer number (368550000).

Almost surely, 2168065469000 is an apocalyptic number.

168065469000 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 168065469000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377395200000).

168065469000 is an abundant number, since it is smaller than the sum of its proper divisors (586724931000).

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

168065469000 is a wasteful number, since it uses less digits than its factorization.

168065469000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 168065469000 in words is "one hundred sixty-eight billion, sixty-five million, four hundred sixty-nine thousand".