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45808657000 = 235359377249
BaseRepresentation
bin101010101010011010…
…001010001001101000
311101020111001212220221
4222222122022021220
51222304004011000
633013314255424
73211116105601
oct525232121150
9141214055827
1045808657000
111847787a017
128a65287574
134420605502
142307c0cda8
1512d192561a
hexaaa68a268

45808657000 has 64 divisors (see below), whose sum is σ = 107374410000. Its totient is φ = 18292326400.

The previous prime is 45808656991. The next prime is 45808657009. The reversal of 45808657000 is 75680854.

It is an interprime number because it is at equal distance from previous prime (45808656991) and next prime (45808657009).

It can be written as a sum of positive squares in 8 ways, for example, as 855328516 + 44953328484 = 29246^2 + 212022^2 .

It is a super-2 number, since 2×458086570002 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45808657009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 554376 + ... + 631624.

Almost surely, 245808657000 is an apocalyptic number.

45808657000 is a gapful number since it is divisible by the number (40) 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 45808657000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53687205000).

45808657000 is an abundant number, since it is smaller than the sum of its proper divisors (61565753000).

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

45808657000 is a wasteful number, since it uses less digits than its factorization.

45808657000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77863 (or 77849 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 43.

The spelling of 45808657000 in words is "forty-five billion, eight hundred eight million, six hundred fifty-seven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 593 1000 1186 2372 2965 4744 5930 11860 14825 23720 29650 59300 74125 77249 118600 148250 154498 296500 308996 386245 593000 617992 772490 1544980 1931225 3089960 3862450 7724900 9656125 15449800 19312250 38624500 45808657 77249000 91617314 183234628 229043285 366469256 458086570 916173140 1145216425 1832346280 2290432850 4580865700 5726082125 9161731400 11452164250 22904328500 45808657000