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2045315597208 = 23313231556918307
BaseRepresentation
bin11101110000110110010…
…011110100001110011000
321020112022120010201000020
4131300312103310032120
5232002301243102313
64203334403310440
7300524553503562
oct35606623641630
97215276121006
102045315597208
11719460373774
1229049007b420
1311ab45974710
1470dcadd2332
153830b4ab323
hex1dc364f4398

2045315597208 has 128 divisors (see below), whose sum is σ = 5746720089600. Its totient is φ = 601894250496.

The previous prime is 2045315597207. The next prime is 2045315597209. The reversal of 2045315597208 is 8027955135402.

It is an interprime number because it is at equal distance from previous prime (2045315597207) and next prime (2045315597209).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2045315597201) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111713991 + ... + 111732297.

It is an arithmetic number, because the mean of its divisors is an integer number (44896250700).

Almost surely, 22045315597208 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 2045315597208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2873360044800).

2045315597208 is an abundant number, since it is smaller than the sum of its proper divisors (3701404492392).

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

2045315597208 is a wasteful number, since it uses less digits than its factorization.

2045315597208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33921 (or 33917 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 51.

The spelling of 2045315597208 in words is "two trillion, forty-five billion, three hundred fifteen million, five hundred ninety-seven thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 13 23 24 26 39 46 52 69 78 92 104 138 156 184 276 299 312 552 598 897 1196 1794 2392 3588 7176 15569 18307 31138 36614 46707 54921 62276 73228 93414 109842 124552 146456 186828 202397 219684 237991 358087 373656 404794 421061 439368 475982 607191 713973 716174 809588 842122 951964 1074261 1214382 1263183 1427946 1432348 1619176 1684244 1903928 2148522 2428764 2526366 2855892 2864696 3368488 4297044 4655131 4857528 5052732 5473793 5711784 8594088 9310262 10105464 10947586 13965393 16421379 18620524 21895172 27930786 32842758 37241048 43790344 55861572 65685516 111723144 131371032 285021683 570043366 855065049 1140086732 1710130098 2280173464 3420260196 3705281879 6555498709 6840520392 7410563758 11115845637 13110997418 14821127516 19666496127 22231691274 26221994836 29642255032 39332992254 44463382548 52443989672 78665984508 85221483217 88926765096 157331969016 170442966434 255664449651 340885932868 511328899302 681771865736 1022657798604 2045315597208