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168984990720 = 210335721319101
BaseRepresentation
bin1001110101100001001…
…0100101010000000000
3121011011212001222011000
42131120102211100000
510232040124200340
6205344114452000
715131414502300
oct2353022452000
9534155058130
10168984990720
1165736692727
1228900894000
1312c20893290
148270d3d600
1545e06a1d30
hex27584a5400

168984990720 has 2112 divisors, whose sum is σ = 799764537600. Its totient is φ = 33443020800.

The previous prime is 168984990719. The next prime is 168984990721. The reversal of 168984990720 is 27099489861.

It is an interprime number because it is at equal distance from previous prime (168984990719) and next prime (168984990721).

It is a super-2 number, since 2×1689849907202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168984990721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1673118670 + ... + 1673118770.

Almost surely, 2168984990720 is an apocalyptic number.

168984990720 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 168984990720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399882268800).

168984990720 is an abundant number, since it is smaller than the sum of its proper divisors (630779546880).

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

168984990720 is a wasteful number, since it uses less digits than its factorization.

168984990720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 63.

The spelling of 168984990720 in words is "one hundred sixty-eight billion, nine hundred eighty-four million, nine hundred ninety thousand, seven hundred twenty".