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45350319285 = 345376134937
BaseRepresentation
bin101010001111000101…
…101111010010110101
311100001112121220210000
4222033011233102311
51220334140204120
632500022421513
73163552232205
oct521705572265
9140045556700
1045350319285
1118262089117
128957891899
13437967976b
1422a2dc0405
1512a658b990
hexa8f16f4b5

45350319285 has 80 divisors (see below), whose sum is σ = 83644940016. Its totient is φ = 23489989632.

The previous prime is 45350319257. The next prime is 45350319293. The reversal of 45350319285 is 58291305354.

45350319285 is a `hidden beast` number, since 4 + 5 + 3 + 50 + 319 + 285 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2568361041 + 42781958244 = 50679^2 + 206838^2 .

It is not a de Polignac number, because 45350319285 - 26 = 45350319221 is a prime.

It is a super-2 number, since 2×453503192852 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 45350319285.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9183337 + ... + 9188273.

Almost surely, 245350319285 is an apocalyptic number.

45350319285 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

45350319285 is a deficient number, since it is larger than the sum of its proper divisors (38294620731).

45350319285 is a wasteful number, since it uses less digits than its factorization.

45350319285 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5604 (or 5595 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 45350319285 in words is "forty-five billion, three hundred fifty million, three hundred nineteen thousand, two hundred eighty-five".

Divisors: 1 3 5 9 15 27 37 45 81 111 135 185 333 405 555 613 999 1665 1839 2997 3065 4937 4995 5517 9195 14811 14985 16551 22681 24685 27585 44433 49653 68043 74055 82755 113405 133299 182669 204129 222165 248265 340215 399897 548007 612387 666495 913345 1020645 1644021 1837161 1999485 2740035 3026381 3061935 4932063 8220105 9079143 9185805 14796189 15131905 24660315 27237429 45395715 73980945 81712287 111976097 136187145 245136861 335928291 408561435 559880485 1007784873 1225684305 1679641455 3023354619 5038924365 9070063857 15116773095 45350319285