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168363166944 = 25379722911279
BaseRepresentation
bin1001110011001100111…
…0100000110011100000
3121002120112000001021210
42130303032200303200
510224301432320234
6205202302550120
715110124210060
oct2346316406340
9532515001253
10168363166944
1165447689285
1228768598340
1312b51ac610b
1482125153a0
1545a5cc2be9
hex27333a0ce0

168363166944 has 192 divisors, whose sum is σ = 512570419200. Its totient is φ = 47395749888.

The previous prime is 168363166919. The next prime is 168363166957. The reversal of 168363166944 is 449661363861.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 14921497 + ... + 14932775.

It is an arithmetic number, because the mean of its divisors is an integer number (2669637600).

Almost surely, 2168363166944 is an apocalyptic number.

168363166944 is a gapful number since it is divisible by the number (14) 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 168363166944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256285209600).

168363166944 is an abundant number, since it is smaller than the sum of its proper divisors (344207252256).

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

168363166944 is a wasteful number, since it uses less digits than its factorization.

168363166944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11625 (or 11617 counting only the distinct ones).

The product of its digits is 13436928, while the sum is 57.

The spelling of 168363166944 in words is "one hundred sixty-eight billion, three hundred sixty-three million, one hundred sixty-six thousand, nine hundred forty-four".