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45460893160 = 2354513251833
BaseRepresentation
bin101010010101101011…
…100010110111101000
311100100020200122121201
4222111223202313220
51221100442040120
632515012413544
73166364134054
oct522553426750
9140306618551
1045460893160
1118309541991
1289889172b4
1343965530a7
1422b3964c64
1512b112e40a
hexa95ae2de8

45460893160 has 32 divisors (see below), whose sum is σ = 102310080840. Its totient is φ = 18180255744.

The previous prime is 45460893151. The next prime is 45460893173. The reversal of 45460893160 is 6139806454.

It can be written as a sum of positive squares in 4 ways, for example, as 27110939716 + 18349953444 = 164654^2 + 135462^2 .

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 45460893160.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 54604 + ... + 306436.

Almost surely, 245460893160 is an apocalyptic number.

45460893160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45460893160 is an abundant number, since it is smaller than the sum of its proper divisors (56849187680).

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

45460893160 is a wasteful number, since it uses less digits than its factorization.

45460893160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256357 (or 256353 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 46.

The spelling of 45460893160 in words is "forty-five billion, four hundred sixty million, eight hundred ninety-three thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 4513 9026 18052 22565 36104 45130 90260 180520 251833 503666 1007332 1259165 2014664 2518330 5036660 10073320 1136522329 2273044658 4546089316 5682611645 9092178632 11365223290 22730446580 45460893160