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1075252739985 = 365417194973
BaseRepresentation
bin11111010010110100000…
…11101011111110010001
310210210102012201201000000
433221122003223332101
5120104104200134420
62141544141520213
7140453523326304
oct17513203537621
93723365651000
101075252739985
1138501515a296
12154483b73069
137a51ba33658
143a084910b3b
151ce830a4690
hexfa5a0ebf91

1075252739985 has 56 divisors (see below), whose sum is σ = 1981754858664. Its totient is φ = 559481022720.

The previous prime is 1075252739959. The next prime is 1075252739999. The reversal of 1075252739985 is 5899372525701.

1075252739985 is a `hidden beast` number, since 1 + 0 + 7 + 525 + 27 + 3 + 9 + 9 + 85 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 175888810881 + 899363929104 = 419391^2 + 948348^2 .

It is not a de Polignac number, because 1075252739985 - 218 = 1075252477841 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3448042 + ... + 3746931.

It is an arithmetic number, because the mean of its divisors is an integer number (35388479619).

Almost surely, 21075252739985 is an apocalyptic number.

1075252739985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1075252739985 is a deficient number, since it is larger than the sum of its proper divisors (906502118679).

1075252739985 is an frugal number, since it uses more digits than its factorization.

1075252739985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7195037 (or 7195022 counting only the distinct ones).

The product of its (nonzero) digits is 47628000, while the sum is 63.

The spelling of 1075252739985 in words is "one trillion, seventy-five billion, two hundred fifty-two million, seven hundred thirty-nine thousand, nine hundred eighty-five".

Divisors: 1 3 5 9 15 27 41 45 81 123 135 205 243 369 405 615 729 1107 1215 1845 3321 3645 5535 9963 16605 29889 49815 149445 7194973 21584919 35974865 64754757 107924595 194264271 294993893 323773785 582792813 884981679 971321355 1474969465 1748378439 2654945037 2913964065 4424908395 5245135317 7964835111 8741892195 13274725185 23894505333 26225676585 39824175555 71683515999 119472526665 215050547997 358417579995 1075252739985