Search a number
-
+
6606120100 = 2252174390371
BaseRepresentation
bin1100010011100000…
…10110010010100100
3122001101120200010211
412021300112102210
5102012131320400
63011304025204
7322464044236
oct61160262244
918041520124
106606120100
11288aa89898
121344462204
13813828208
1446950a256
15289e63dba
hex189c164a4

6606120100 has 72 divisors (see below), whose sum is σ = 15531693408. Its totient is φ = 2429145600.

The previous prime is 6606120091. The next prime is 6606120133. The reversal of 6606120100 is 10216066.

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 23 ways as a sum of consecutive naturals, for example, 27915 + ... + 118285.

It is an arithmetic number, because the mean of its divisors is an integer number (215717964).

Almost surely, 26606120100 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 6606120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7765846704).

6606120100 is an abundant number, since it is smaller than the sum of its proper divisors (8925573308).

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

6606120100 is a wasteful number, since it uses less digits than its factorization.

6606120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90445 (or 90438 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 6606120100 is about 81278.0419301548. The cubic root of 6606120100 is about 1876.3570714794.

Adding to 6606120100 its reverse (10216066), we get a palindrome (6616336166).

The spelling of 6606120100 in words is "six billion, six hundred six million, one hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 43 50 68 85 86 100 170 172 215 340 425 430 731 850 860 1075 1462 1700 2150 2924 3655 4300 7310 14620 18275 36550 73100 90371 180742 361484 451855 903710 1536307 1807420 2259275 3072614 3885953 4518550 6145228 7681535 7771906 9037100 15363070 15543812 19429765 30726140 38407675 38859530 66061201 76815350 77719060 97148825 132122402 153630700 194297650 264244804 330306005 388595300 660612010 1321224020 1651530025 3303060050 6606120100