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166026018816 = 2183471117
BaseRepresentation
bin1001101010011111101…
…1000000000000000000
3120212112122020121210000
42122213323000000000
510210010130100231
6204134333440000
714665164606120
oct2324773000000
9525478217700
10166026018816
11644583a52a9
1228215940000
131286b845528
14806dd76c80
1544baa146e6
hex26a7ec0000

166026018816 has 380 divisors, whose sum is σ = 567395974288. Its totient is φ = 47393538048.

The previous prime is 166026018803. The next prime is 166026018859. The reversal of 166026018816 is 618810620661.

166026018816 is a `hidden beast` number, since 16 + 602 + 6 + 0 + 18 + 8 + 16 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 148635090 + ... + 148636206.

Almost surely, 2166026018816 is an apocalyptic number.

166026018816 is a gapful number since it is divisible by the number (16) 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 166026018816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283697987144).

166026018816 is an abundant number, since it is smaller than the sum of its proper divisors (401369955472).

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

166026018816 is an frugal number, since it uses more digits than its factorization.

166026018816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1172 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 166026018816 in words is "one hundred sixty-six billion, twenty-six million, eighteen thousand, eight hundred sixteen".