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168920027640000 = 2634547131992879
BaseRepresentation
bin100110011010000111000010…
…001111100011000011000000
3211011002121010011102001120000
4212122013002033203003000
5134120041204033440000
61355132442302320000
750403032520203610
oct4632070217430300
9734077104361500
10168920027640000
11499066439596aa
1216b419bb589000
1373341233a9030
142d9dab700ca40
15147dee6be0000
hex99a1c23e30c0

168920027640000 has 2800 divisors, whose sum is σ = 774248961024000. Its totient is φ = 35448855552000.

The previous prime is 168920027639981. The next prime is 168920027640031. The reversal of 168920027640000 is 46720029861.

It is a happy number.

168920027640000 is a `hidden beast` number, since 16 + 8 + 9 + 200 + 27 + 6 + 400 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2800).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 399 ways as a sum of consecutive naturals, for example, 58673158561 + ... + 58673161439.

It is an arithmetic number, because the mean of its divisors is an integer number (276517486080).

Almost surely, 2168920027640000 is an apocalyptic number.

168920027640000 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 168920027640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387124480512000).

168920027640000 is an abundant number, since it is smaller than the sum of its proper divisors (605328933384000).

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

168920027640000 is a wasteful number, since it uses less digits than its factorization.

168920027640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3142 (or 3108 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

Adding to 168920027640000 its reverse (46720029861), we get a palindrome (168966747669861).

The spelling of 168920027640000 in words is "one hundred sixty-eight trillion, nine hundred twenty billion, twenty-seven million, six hundred forty thousand".