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168426852346368 = 2934711241831409
BaseRepresentation
bin100110010010111011101110…
…101101000110101000000000
3211002100110010221002100110000
4212102323232231012220000
5134034001143200040433
61354114121112240000
750322303261316320
oct4622735655065000
9732313127070400
10168426852346368
11497364772a8100
1216a823040a0000
1372c977914a565
142d83c90355280
1514712802ec113
hex992eeeb46a00

168426852346368 has 2400 divisors, whose sum is σ = 655164445541760. Its totient is φ = 42136082841600.

The previous prime is 168426852346343. The next prime is 168426852346369. The reversal of 168426852346368 is 863643258624861.

168426852346368 is a `hidden beast` number, since 1 + 6 + 8 + 4 + 2 + 6 + 85 + 23 + 463 + 68 = 666.

It is a super-3 number, since 3×1684268523463683 (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 168426852346296 and 168426852346305.

It is not an unprimeable number, because it can be changed into a prime (168426852346369) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 119536445248 + ... + 119536446656.

Almost surely, 2168426852346368 is an apocalyptic number.

168426852346368 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 168426852346368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327582222770880).

168426852346368 is an abundant number, since it is smaller than the sum of its proper divisors (486737593195392).

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

168426852346368 is a wasteful number, since it uses less digits than its factorization.

168426852346368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1592 (or 1556 counting only the distinct ones).

The product of its digits is 1911029760, while the sum is 72.

The spelling of 168426852346368 in words is "one hundred sixty-eight trillion, four hundred twenty-six billion, eight hundred fifty-two million, three hundred forty-six thousand, three hundred sixty-eight".