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45482405352 = 233191274391789
BaseRepresentation
bin101010010110111101…
…100110110111101000
311100101202011120210120
4222112331212313220
51221121443432402
632521101443240
73200045031606
oct522675466750
9140352146716
1045482405352
111831a6a535a
128993b70520
13439ab458b7
1422b6764876
1512b2e7d3bc
hexa96f66de8

45482405352 has 128 divisors (see below), whose sum is σ = 120975360000. Its totient is φ = 14209364736.

The previous prime is 45482405347. The next prime is 45482405453. The reversal of 45482405352 is 25350428454.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25422474 + ... + 25424262.

It is an arithmetic number, because the mean of its divisors is an integer number (945120000).

Almost surely, 245482405352 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 45482405352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60487680000).

45482405352 is an abundant number, since it is smaller than the sum of its proper divisors (75492954648).

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

45482405352 is a wasteful number, since it uses less digits than its factorization.

45482405352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2383 (or 2379 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 42.

The spelling of 45482405352 in words is "forty-five billion, four hundred eighty-two million, four hundred five thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 127 152 228 254 381 439 456 508 762 878 1016 1317 1524 1756 1789 2413 2634 3048 3512 3578 4826 5268 5367 7156 7239 8341 9652 10536 10734 14312 14478 16682 19304 21468 25023 28956 33364 33991 42936 50046 55753 57912 66728 67982 100092 101973 111506 135964 167259 200184 203946 223012 227203 271928 334518 407892 446024 454406 669036 681609 785371 815784 908812 1059307 1338072 1363218 1570742 1817624 2118614 2356113 2726436 3141484 3177921 4237228 4316857 4712226 5452872 6282968 6355842 8474456 8633714 9424452 12711684 12950571 14922049 17267428 18848904 25423368 25901142 29844098 34534856 44766147 51802284 59688196 89532294 99742117 103604568 119376392 179064588 199484234 299226351 358129176 398968468 598452702 797936936 1196905404 1895100223 2393810808 3790200446 5685300669 7580400892 11370601338 15160801784 22741202676 45482405352