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182001819816 = 233241791017727
BaseRepresentation
bin1010100110000000100…
…1110110000010101000
3122101210000112101210100
42221200021312002220
510440214431213231
6215335510345400
716102113641325
oct2514011660250
9571700471710
10182001819816
1170206312023
122b33405b260
13142165a800b
148b47a09b4c
154b0332a1e6
hex2a602760a8

182001819816 has 192 divisors, whose sum is σ = 516465331200. Its totient is φ = 57852288000.

The previous prime is 182001819803. The next prime is 182001819821. The reversal of 182001819816 is 618918100281.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23550145 + ... + 23557871.

It is an arithmetic number, because the mean of its divisors is an integer number (2689923600).

Almost surely, 2182001819816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 182001819816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258232665600).

182001819816 is an abundant number, since it is smaller than the sum of its proper divisors (334463511384).

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

182001819816 is a wasteful number, since it uses less digits than its factorization.

182001819816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7960 (or 7953 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 45.

The spelling of 182001819816 in words is "one hundred eighty-two billion, one million, eight hundred nineteen thousand, eight hundred sixteen".