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8291980980 = 22325971094357
BaseRepresentation
bin1111011100011110…
…11001011010110100
3210101212211021111200
413232033121122310
5113440221342410
63450445532500
7412324450443
oct75617313264
923355737450
108291980980
113575675048
121734b74130
13a21b93c2a
14589390d5a
15337e733c0
hex1ee3d96b4

8291980980 has 144 divisors (see below), whose sum is σ = 25650665040. Its totient is φ = 2167824384.

The previous prime is 8291980973. The next prime is 8291980993. The reversal of 8291980980 is 890891928.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1154096784 + 7137884196 = 33972^2 + 84486^2 .

It is a congruent number.

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, 1900962 + ... + 1905318.

Almost surely, 28291980980 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 8291980980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12825332520).

8291980980 is an abundant number, since it is smaller than the sum of its proper divisors (17358684060).

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

8291980980 is a wasteful number, since it uses less digits than its factorization.

8291980980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4578 (or 4573 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 54.

The square root of 8291980980 is about 91060.3150664437. The cubic root of 8291980980 is about 2024.0415912782.

The spelling of 8291980980 in words is "eight billion, two hundred ninety-one million, nine hundred eighty thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 97 109 180 194 218 291 327 388 436 485 545 582 654 873 970 981 1090 1164 1308 1455 1635 1746 1940 1962 2180 2910 3270 3492 3924 4357 4365 4905 5820 6540 8714 8730 9810 10573 13071 17428 17460 19620 21146 21785 26142 31719 39213 42292 43570 52284 52865 63438 65355 78426 87140 95157 105730 126876 130710 156852 158595 190314 196065 211460 261420 317190 380628 392130 422629 474913 475785 634380 784260 845258 949826 951570 1267887 1424739 1690516 1899652 1903140 2113145 2374565 2535774 2849478 3803661 4226290 4274217 4749130 5071548 5698956 6339435 7123695 7607322 8452580 8548434 9498260 12678870 14247390 15214644 17096868 19018305 21371085 25357740 28494780 38036610 42742170 46066561 76073220 85484340 92133122 138199683 184266244 230332805 276399366 414599049 460665610 552798732 690998415 829198098 921331220 1381996830 1658396196 2072995245 2763993660 4145990490 8291980980