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2665419820 = 225747537643
BaseRepresentation
bin1001111011011111…
…0001010000101100
320212202110100121121
42132313301100230
520424321413240
61120253110324
7123023460160
oct23667612054
96782410547
102665419820
1111486183a8
126247883a4
13336299abb
141b3dd0ca0
1510900404a
hex9edf142c

2665419820 has 96 divisors (see below), whose sum is σ = 6657251328. Its totient is φ = 877423872.

The previous prime is 2665419811. The next prime is 2665419821. The reversal of 2665419820 is 289145662.

It is not an unprimeable number, because it can be changed into a prime (2665419821) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 344919 + ... + 352561.

It is an arithmetic number, because the mean of its divisors is an integer number (69346368).

Almost surely, 22665419820 is an apocalyptic number.

2665419820 is a gapful number since it is divisible by the number (20) 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 2665419820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3328625664).

2665419820 is an abundant number, since it is smaller than the sum of its proper divisors (3991831508).

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

2665419820 is a wasteful number, since it uses less digits than its factorization.

2665419820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7759 (or 7757 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 43.

The square root of 2665419820 is about 51627.7039969821. The cubic root of 2665419820 is about 1386.5063862092.

The spelling of 2665419820 in words is "two billion, six hundred sixty-five million, four hundred nineteen thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 47 53 70 94 106 140 188 212 235 265 329 371 470 530 658 742 940 1060 1316 1484 1645 1855 2491 3290 3710 4982 6580 7420 7643 9964 12455 15286 17437 24910 30572 34874 38215 49820 53501 69748 76430 87185 107002 152860 174370 214004 267505 348740 359221 405079 535010 718442 810158 1070020 1436884 1620316 1796105 2025395 2514547 2835553 3592210 4050790 5029094 5671106 7184420 8101580 10058188 11342212 12572735 14177765 19038713 25145470 28355530 38077426 50290940 56711060 76154852 95193565 133270991 190387130 266541982 380774260 533083964 666354955 1332709910 2665419820