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1084239047825 = 52415339750273
BaseRepresentation
bin11111100011100011010…
…11101110110010010001
310211122121111001102220022
433301301223232302101
5120231010144012300
62150031553353225
7141222311562443
oct17616153566221
93748544042808
101084239047825
1138890674938a
12156171568815
137b3216cb67b
143a6981a0493
151d30be79285
hexfc71aeec91

1084239047825 has 48 divisors (see below), whose sum is σ = 1406796428016. Its totient is φ = 828160819200.

The previous prime is 1084239047819. The next prime is 1084239047833. The reversal of 1084239047825 is 5287409324801.

It is a Cunningham number, because it is equal to 10412682+1.

It can be written as a sum of positive squares in 24 ways, for example, as 714342755344 + 369896292481 = 845188^2 + 608191^2 .

It is not a de Polignac number, because 1084239047825 - 28 = 1084239047569 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (53).

It is a Duffinian number.

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 47 ways as a sum of consecutive naturals, for example, 21541889 + ... + 21592161.

It is an arithmetic number, because the mean of its divisors is an integer number (29308258917).

Almost surely, 21084239047825 is an apocalyptic number.

It is an amenable number.

1084239047825 is a deficient number, since it is larger than the sum of its proper divisors (322557380191).

1084239047825 is a wasteful number, since it uses less digits than its factorization.

1084239047825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50774 (or 50769 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 53.

The spelling of 1084239047825 in words is "one trillion, eighty-four billion, two hundred thirty-nine million, forty-seven thousand, eight hundred twenty-five".

Divisors: 1 5 25 41 53 205 265 397 1025 1325 1985 2173 9925 10865 16277 21041 50273 54325 81385 105205 251365 406925 526025 862681 1256825 2061193 2664469 4313405 10305965 13322345 19958381 21567025 51529825 66611725 99791905 109243229 498959525 546216145 818293621 1057794193 2731080725 4091468105 5288970965 20457340525 26444854825 43369561913 216847809565 1084239047825