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168740236368 = 243311219238389
BaseRepresentation
bin1001110100100110110…
…0111010110001010000
3121010112210112011022000
42131021230322301100
510231040000030433
6205303532514000
715122353225614
oct2351154726120
9533483464260
10168740236368
1165620512100
122885291b900
1312bb1c69412
14824a62b344
1545c8e57113
hex2749b3ac50

168740236368 has 960 divisors, whose sum is σ = 598461696000. Its totient is φ = 45263370240.

The previous prime is 168740236321. The next prime is 168740236411. The reversal of 168740236368 is 863632047861.

168740236368 is a `hidden beast` number, since 1 + 6 + 8 + 7 + 40 + 236 + 368 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1895957668 + ... + 1895957756.

It is an arithmetic number, because the mean of its divisors is an integer number (623397600).

Almost surely, 2168740236368 is an apocalyptic number.

168740236368 is a gapful number since it is divisible by the number (18) 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 168740236368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299230848000).

168740236368 is an abundant number, since it is smaller than the sum of its proper divisors (429721459632).

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

168740236368 is a wasteful number, since it uses less digits than its factorization.

168740236368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 168740236368 in words is "one hundred sixty-eight billion, seven hundred forty million, two hundred thirty-six thousand, three hundred sixty-eight".