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166054443510431 = 72314921413233119
BaseRepresentation
bin100101110000011010010000…
…000111100110101010011111
3210202221122112200022111011102
4211300122100013212222133
5133231114000014313211
61345100205213343315
746656015624041630
oct4560322007465237
9722848480274142
10166054443510431
1148a01326370953
121675a569197b3b
137186b3657c548
142d01113c6b887
15142e6ccd30a3b
hex9706901e6a9f

166054443510431 has 32 divisors (see below), whose sum is σ = 199449879552000. Its totient is φ = 135167093550720.

The previous prime is 166054443510383. The next prime is 166054443510497. The reversal of 166054443510431 is 134015344450661.

It is not a de Polignac number, because 166054443510431 - 222 = 166054439316127 is a prime.

It is a super-2 number, since 2×1660544435104312 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166054443512431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49743890 + ... + 52977008.

It is an arithmetic number, because the mean of its divisors is an integer number (6232808736000).

Almost surely, 2166054443510431 is an apocalyptic number.

166054443510431 is a deficient number, since it is larger than the sum of its proper divisors (33395436041569).

166054443510431 is a wasteful number, since it uses less digits than its factorization.

166054443510431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3235439.

The product of its (nonzero) digits is 2073600, while the sum is 47.

The spelling of 166054443510431 in words is "one hundred sixty-six trillion, fifty-four billion, four hundred forty-three million, five hundred ten thousand, four hundred thirty-one".

Divisors: 1 7 23 149 161 1043 2141 3427 14987 23989 49243 319009 344701 2233063 3233119 7337207 22631833 51360449 74361737 481734731 520532159 3372143117 6922107779 11079898813 48454754453 77559291691 159208478917 1031394059071 1114459352419 7219758413497 23722063358633 166054443510431