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1084112016848 = 247487106918593
BaseRepresentation
bin11111100011010100001…
…11001001010111010000
310211122021122000121011022
433301222013021113100
5120230230134014343
62150011214535012
7141216210045650
oct17615207112720
93748248017138
101084112016848
11388850a75103
12156136b07468
137b3012b2403
143a685374360
151d300c35568
hexfc6a1c95d0

1084112016848 has 80 divisors (see below), whose sum is σ = 2407842673920. Its totient is φ = 463206739968.

The previous prime is 1084112016829. The next prime is 1084112016859. The reversal of 1084112016848 is 8486102114801.

1084112016848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 10412072-1.

It is a junction number, because it is equal to n+sod(n) for n = 1084112016799 and 1084112016808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58298240 + ... + 58316832.

It is an arithmetic number, because the mean of its divisors is an integer number (30098033424).

Almost surely, 21084112016848 is an apocalyptic number.

It is an amenable number.

1084112016848 is an abundant number, since it is smaller than the sum of its proper divisors (1323730657072).

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

1084112016848 is a wasteful number, since it uses less digits than its factorization.

1084112016848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20164 (or 20158 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 44.

The spelling of 1084112016848 in words is "one trillion, eighty-four billion, one hundred twelve million, sixteen thousand, eight hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 112 487 974 1069 1948 2138 3409 3896 4276 6818 7483 7792 8552 13636 14966 17104 18593 27272 29932 37186 54544 59864 74372 119728 130151 148744 260302 297488 520603 520604 1041206 1041208 2082412 2082416 3644221 4164824 7288442 8329648 9054791 14576884 18109582 19875917 29153768 36219164 39751834 58307536 63383537 72438328 79503668 126767074 139131419 144876656 159007336 253534148 278262838 318014672 507068296 556525676 1014136592 1113051352 2226102704 9679571579 19359143158 38718286316 67757001053 77436572632 135514002106 154873145264 271028004212 542056008424 1084112016848