Search a number
-
+
164172239158620 = 223572116653763031
BaseRepresentation
bin100101010101000001010011…
…111111110011110101011100
3210112021201020121202120111010
4211111001103333303311130
5133004244221211033440
61341055404022055220
746403024063033400
oct4525012377636534
9715251217676433
10164172239158620
1148346068053030
12164b581a87a510
13707b4b6609164
142c77d9ba73100
1513ea76b52c580
hex955053ff3d5c

164172239158620 has 288 divisors, whose sum is σ = 583432921806336. Its totient is φ = 34108539763200.

The previous prime is 164172239158589. The next prime is 164172239158667. The reversal of 164172239158620 is 26851932271461.

It is a happy number.

It is a super-2 number, since 2×1641722391586202 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 214776505 + ... + 215539535.

It is an arithmetic number, because the mean of its divisors is an integer number (2025808756272).

It is a 1-persistent number, because it is pandigital, but 2⋅164172239158620 = 328344478317240 is not.

Almost surely, 2164172239158620 is an apocalyptic number.

164172239158620 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 164172239158620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291716460903168).

164172239158620 is an abundant number, since it is smaller than the sum of its proper divisors (419260682647716).

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

164172239158620 is a wasteful number, since it uses less digits than its factorization.

164172239158620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769721 (or 769712 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 57.

The spelling of 164172239158620 in words is "one hundred sixty-four trillion, one hundred seventy-two billion, two hundred thirty-nine million, one hundred fifty-eight thousand, six hundred twenty".