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166650600032 = 2575317238147
BaseRepresentation
bin1001101100110100100…
…1100101101001100000
3120221011011111122010122
42123031021211221200
510212300023200112
6204320324415412
715016520504450
oct2331511455140
9527134448118
10166650600032
1164748a12424
122836ab47568
131293b069807
1480cccbbd60
15450578a872
hex26cd265a60

166650600032 has 96 divisors (see below), whose sum is σ = 382307288832. Its totient is φ = 70024840704.

The previous prime is 166650600029. The next prime is 166650600043. The reversal of 166650600032 is 230006056661.

It is a junction number, because it is equal to n+sod(n) for n = 166650599965 and 166650600001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20451383 + ... + 20459529.

It is an arithmetic number, because the mean of its divisors is an integer number (3982367592).

Almost surely, 2166650600032 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 166650600032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191153644416).

166650600032 is an abundant number, since it is smaller than the sum of its proper divisors (215656688800).

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

166650600032 is a wasteful number, since it uses less digits than its factorization.

166650600032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9940 (or 9932 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 35.

Adding to 166650600032 its reverse (230006056661), we get a palindrome (396656656693).

The spelling of 166650600032 in words is "one hundred sixty-six billion, six hundred fifty million, six hundred thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 106 112 212 224 371 424 742 848 1484 1696 1723 2968 3446 5936 6892 8147 11872 12061 13784 16294 24122 27568 32588 48244 55136 57029 65176 91319 96488 114058 130352 182638 192976 228116 260704 365276 385952 431791 456232 639233 730552 863582 912464 1278466 1461104 1727164 1824928 2556932 2922208 3022537 3454328 5113864 6045074 6908656 10227728 12090148 13817312 14037281 20455456 24180296 28074562 48360592 56149124 96721184 98260967 112298248 196521934 224596496 393043868 449192992 743975893 786087736 1487951786 1572175472 2975903572 3144350944 5207831251 5951807144 10415662502 11903614288 20831325004 23807228576 41662650008 83325300016 166650600032