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6629468980 = 225192918209
BaseRepresentation
bin1100010110010010…
…11010101100110100
3122010000111220210011
412023021122230310
5102034121001410
63013500310004
7323166361621
oct61311325464
918100456704
106629468980
1128a2187192
121350242304
13818611a14
1446c667348
1528c02718a
hex18b25ab34

6629468980 has 36 divisors (see below), whose sum is σ = 14693196420. Its totient is φ = 2512217088.

The previous prime is 6629468941. The next prime is 6629468981. The reversal of 6629468980 is 898649266.

It can be written as a sum of positive squares in 2 ways, for example, as 4709802384 + 1919666596 = 68628^2 + 43814^2 .

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6629468981) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 451885 + ... + 466324.

It is an arithmetic number, because the mean of its divisors is an integer number (408144345).

Almost surely, 26629468980 is an apocalyptic number.

It is an amenable number.

6629468980 is an abundant number, since it is smaller than the sum of its proper divisors (8063727440).

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

6629468980 is a wasteful number, since it uses less digits than its factorization.

6629468980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918256 (or 918235 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 58.

The square root of 6629468980 is about 81421.5510783232. The cubic root of 6629468980 is about 1878.5650907645.

The spelling of 6629468980 in words is "six billion, six hundred twenty-nine million, four hundred sixty-eight thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 361 380 722 1444 1805 3610 7220 918209 1836418 3672836 4591045 9182090 17445971 18364180 34891942 69783884 87229855 174459710 331473449 348919420 662946898 1325893796 1657367245 3314734490 6629468980