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168393211642881 = 3414418492
BaseRepresentation
bin100110010010011100011001…
…100100000000010000000001
3211002020020022110011112210000
4212102130121210000100001
5134032423244140033011
61354050435023230213
750320002523130511
oct4622343144002001
9732206273145700
10168393211642881
1149723183a74715
1216a77895a48369
1372c6547723554
142d823bc5a3841
151470461c71356
hex992719900401

168393211642881 has 15 divisors (see below), whose sum is σ = 251550527658771. Its totient is φ = 112262063235408.

The previous prime is 168393211642853. The next prime is 168393211642883. The reversal of 168393211642881 is 188246112393861.

It is a happy number.

The square root of 168393211642881 is 12976641.

It is a perfect power (a square), and thus also a powerful number.

168393211642881 is a `hidden beast` number, since 1 + 6 + 8 + 3 + 93 + 2 + 116 + 428 + 8 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 167530542202881 + 862669440000 = 12943359^2 + 928800^2 .

It is not a de Polignac number, because 168393211642881 - 213 = 168393211634689 is a prime.

It is a super-2 number, since 2×1683932116428812 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (168393211642883) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 116068845 + ... + 117510693.

Almost surely, 2168393211642881 is an apocalyptic number.

168393211642881 is the 12976641-st square number.

168393211642881 is the 6488321-st centered octagonal number.

It is an amenable number.

168393211642881 is a deficient number, since it is larger than the sum of its proper divisors (83157316015890).

168393211642881 is an frugal number, since it uses more digits than its factorization.

168393211642881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2883710 (or 1441852 counting only the distinct ones).

The product of its digits is 23887872, while the sum is 63.

The spelling of 168393211642881 in words is "one hundred sixty-eight trillion, three hundred ninety-three billion, two hundred eleven million, six hundred forty-two thousand, eight hundred eighty-one".

Divisors: 1 3 9 27 81 1441849 4325547 12976641 38929923 116789769 2078928538801 6236785616403 18710356849209 56131070547627 168393211642881