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45448582608 = 243211132207099
BaseRepresentation
bin101010010100111100…
…100101010111010000
311100022101112012201100
4222110330211113100
51221034314120413
632513452504400
73166154402202
oct522474452720
9140271465640
1045448582608
11183025a3880
12898477b100
134393b32940
1422b207c772
1512aeeeba73
hexa94f255d0

45448582608 has 120 divisors (see below), whose sum is σ = 149429498400. Its totient is φ = 12712884480.

The previous prime is 45448582607. The next prime is 45448582609. The reversal of 45448582608 is 80628584454.

45448582608 is a `hidden beast` number, since 4 + 54 + 4 + 8 + 582 + 6 + 0 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (45448582607) and next prime (45448582609).

It is a super-2 number, since 2×454485826082 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45448582601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1082958 + ... + 1124141.

It is an arithmetic number, because the mean of its divisors is an integer number (1245245820).

Almost surely, 245448582608 is an apocalyptic number.

45448582608 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

45448582608 is an abundant number, since it is smaller than the sum of its proper divisors (103980915792).

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

45448582608 is a wasteful number, since it uses less digits than its factorization.

45448582608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2207137 (or 2207128 counting only the distinct ones).

The product of its (nonzero) digits is 9830400, while the sum is 54.

The spelling of 45448582608 in words is "forty-five billion, four hundred forty-eight million, five hundred eighty-two thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 33 36 39 44 48 52 66 72 78 88 99 104 117 132 143 144 156 176 198 208 234 264 286 312 396 429 468 528 572 624 792 858 936 1144 1287 1584 1716 1872 2288 2574 3432 5148 6864 10296 20592 2207099 4414198 6621297 8828396 13242594 17656792 19863891 24278089 26485188 28692287 35313584 39727782 48556178 52970376 57384574 72834267 79455564 86076861 97112356 105940752 114769148 145668534 158911128 172153722 194224712 218502801 229538296 258230583 291337068 315615157 317822256 344307444 388449424 437005602 459076592 516461166 582674136 631230314 688614888 874011204 946845471 1032922332 1165348272 1262460628 1377229776 1748022408 1893690942 2065844664 2524921256 2840536413 3496044816 3787381884 4131689328 5049842512 5681072826 7574763768 11362145652 15149527536 22724291304 45448582608