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2965669380 = 22325173492777
BaseRepresentation
bin1011000011000100…
…1000011000000100
321122200102121120200
42300301020120010
522033202410010
61210140330500
7133330526262
oct26061103004
97580377520
102965669380
111292052333
126a9243a30
1338355436b
14201c2b432
15125561cc0
hexb0c48604

2965669380 has 144 divisors (see below), whose sum is σ = 9555764400. Its totient is φ = 741924864.

The previous prime is 2965669379. The next prime is 2965669411. The reversal of 2965669380 is 839665692.

It can be written as a sum of positive squares in 8 ways, for example, as 213444 + 2965455936 = 462^2 + 54456^2 .

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, 1066552 + ... + 1069328.

It is an arithmetic number, because the mean of its divisors is an integer number (66359475).

Almost surely, 22965669380 is an apocalyptic number.

2965669380 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 2965669380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4777882200).

2965669380 is an abundant number, since it is smaller than the sum of its proper divisors (6590095020).

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

2965669380 is a wasteful number, since it uses less digits than its factorization.

2965669380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3158 (or 3153 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The square root of 2965669380 is about 54457.9597487824. The cubic root of 2965669380 is about 1436.7269701798.

The spelling of 2965669380 in words is "two billion, nine hundred sixty-five million, six hundred sixty-nine thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 349 510 612 698 765 1020 1047 1396 1530 1745 2094 2777 3060 3141 3490 4188 5235 5554 5933 6282 6980 8331 10470 11108 11866 12564 13885 15705 16662 17799 20940 23732 24993 27770 29665 31410 33324 35598 41655 47209 49986 53397 55540 59330 62820 71196 83310 88995 94418 99972 106794 118660 124965 141627 166620 177990 188836 213588 236045 249930 266985 283254 355980 424881 472090 499860 533970 566508 708135 849762 944180 969173 1067940 1416270 1699524 1938346 2124405 2832540 2907519 3876692 4248810 4845865 5815038 8497620 8722557 9691730 11630076 14537595 16475941 17445114 19383460 29075190 32951882 34890228 43612785 49427823 58150380 65903764 82379705 87225570 98855646 148283469 164759410 174451140 197711292 247139115 296566938 329518820 494278230 593133876 741417345 988556460 1482834690 2965669380