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45171070880 = 2551321716861
BaseRepresentation
bin101010000100011001…
…111101011110100000
311022121001100011012012
4222010121331132200
51220002243232010
632430140452052
73156244524125
oct520431753640
9138531304165
1045171070880
111817a98a141
12890784a028
13434b4a9a10
14228728074c
151295981005
hexa8467d7a0

45171070880 has 48 divisors (see below), whose sum is σ = 114925633704. Its totient is φ = 16678548480.

The previous prime is 45171070873. The next prime is 45171070883. The reversal of 45171070880 is 8807017154.

It can be written as a sum of positive squares in 4 ways, for example, as 14393280784 + 30777790096 = 119972^2 + 175436^2 .

It is not an unprimeable number, because it can be changed into a prime (45171070883) 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 7 ways as a sum of consecutive naturals, for example, 10856351 + ... + 10860510.

Almost surely, 245171070880 is an apocalyptic number.

45171070880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45171070880 is an abundant number, since it is smaller than the sum of its proper divisors (69754562824).

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

45171070880 is a wasteful number, since it uses less digits than its factorization.

45171070880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21716889 (or 21716881 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 41.

The spelling of 45171070880 in words is "forty-five billion, one hundred seventy-one million, seventy thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 21716861 43433722 86867444 108584305 173734888 217168610 282319193 347469776 434337220 564638386 694939552 868674440 1129276772 1411595965 1737348880 2258553544 2823191930 3474697760 4517107088 5646383860 9034214176 11292767720 22585535440 45171070880