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45989203416 = 2331335914783
BaseRepresentation
bin101010110101001010…
…111000110111011000
311101201001210121001020
4222311022320313120
51223141214002131
633043244122440
73215440531152
oct526512706730
9141631717036
1045989203416
111855a785232
128ab5836420
13444bb3b000
142323ba9ad2
1512e26da996
hexab52b8dd8

45989203416 has 128 divisors (see below), whose sum is σ = 126669312000. Its totient is φ = 13909743744.

The previous prime is 45989203397. The next prime is 45989203417. The reversal of 45989203416 is 61430298954.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45989203417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3103561 + ... + 3118343.

It is an arithmetic number, because the mean of its divisors is an integer number (989604000).

Almost surely, 245989203416 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 45989203416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63334656000).

45989203416 is an abundant number, since it is smaller than the sum of its proper divisors (80680108584).

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

45989203416 is a wasteful number, since it uses less digits than its factorization.

45989203416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14890 (or 14860 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 51.

The spelling of 45989203416 in words is "forty-five billion, nine hundred eighty-nine million, two hundred three thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 59 78 104 118 156 169 177 236 312 338 354 472 507 676 708 767 1014 1352 1416 1534 2028 2197 2301 3068 4056 4394 4602 6136 6591 8788 9204 9971 13182 14783 17576 18408 19942 26364 29566 29913 39884 44349 52728 59132 59826 79768 88698 118264 119652 129623 177396 192179 239304 259246 354792 384358 388869 518492 576537 768716 777738 872197 1036984 1153074 1537432 1555476 1744394 2306148 2498327 2616591 3110952 3488788 4612296 4996654 5233182 6977576 7494981 9993308 10466364 11338561 14989962 19986616 20932728 22677122 29979924 32478251 34015683 45354244 59959848 64956502 68031366 90708488 97434753 129913004 136062732 147401293 194869506 259826008 272125464 294802586 389739012 442203879 589605172 779478024 884407758 1179210344 1768815516 1916216809 3537631032 3832433618 5748650427 7664867236 11497300854 15329734472 22994601708 45989203416