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45298838208 = 2631336974909
BaseRepresentation
bin101010001100000001…
…010110101011000000
311022220221202102000110
4222030001112223000
51220233000310313
632450543151320
73162355525461
oct521401265300
9138827672013
1045298838208
1118236016678
1289425a5540
13436bac31a0
14229a21cd68
1512a1cbcec3
hexa8c056ac0

45298838208 has 112 divisors (see below), whose sum is σ = 129133864160. Its totient is φ = 13931495424.

The previous prime is 45298838191. The next prime is 45298838213. The reversal of 45298838208 is 80283889254.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9225258 + ... + 9230166.

It is an arithmetic number, because the mean of its divisors is an integer number (1152980930).

Almost surely, 245298838208 is an apocalyptic number.

45298838208 is a gapful number since it is divisible by the number (48) 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 45298838208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64566932080).

45298838208 is an abundant number, since it is smaller than the sum of its proper divisors (83835025952).

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

45298838208 is a wasteful number, since it uses less digits than its factorization.

45298838208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8634 (or 8624 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 57.

The spelling of 45298838208 in words is "forty-five billion, two hundred ninety-eight million, eight hundred thirty-eight thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1248 2496 3697 4909 7394 9818 11091 14727 14788 19636 22182 29454 29576 39272 44364 48061 58908 59152 63817 78544 88728 96122 117816 118304 127634 144183 157088 177456 191451 192244 235632 236608 255268 288366 314176 354912 382902 384488 471264 510536 576732 709824 765804 768976 942528 1021072 1153464 1531608 1537952 2042144 2306928 3063216 3075904 4084288 4613856 6126432 9227712 12252864 18148573 36297146 54445719 72594292 108891438 145188584 217782876 235931449 290377168 435565752 471862898 580754336 707794347 871131504 943725796 1161508672 1415588694 1742263008 1887451592 2831177388 3484526016 3774903184 5662354776 7549806368 11324709552 15099612736 22649419104 45298838208