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1127048057316 = 2232171841581793
BaseRepresentation
bin10000011001101001010…
…011001001000111100100
310222202002220202110000100
4100121221103021013210
5121431143300313231
62221431515144100
7144266205264336
oct20315123110744
93882086673010
101127048057316
113a4a84278875
1216251a145030
1382384713c0c
143c799859456
151e4b537a1e6
hex106694c91e4

1127048057316 has 36 divisors (see below), whose sum is σ = 3016510978572. Its totient is φ = 353583704064.

The previous prime is 1127048057297. The next prime is 1127048057329. The reversal of 1127048057316 is 6137508407211.

1127048057316 is a `hidden beast` number, since 1 + 1 + 2 + 70 + 4 + 8 + 0 + 573 + 1 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1006711222500 + 120336834816 = 1003350^2 + 346896^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×11270480573162 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 920790285 + ... + 920791508.

It is an arithmetic number, because the mean of its divisors is an integer number (83791971627).

Almost surely, 21127048057316 is an apocalyptic number.

It is an amenable number.

1127048057316 is an abundant number, since it is smaller than the sum of its proper divisors (1889462921256).

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

1127048057316 is a wasteful number, since it uses less digits than its factorization.

1127048057316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1841581820 (or 1841581815 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 1127048057316 in words is "one trillion, one hundred twenty-seven billion, forty-eight million, fifty-seven thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 1841581793 3683163586 5524745379 7366327172 11049490758 16574236137 22098981516 31306890481 33148472274 62613780962 66296944548 93920671443 125227561924 187841342886 281762014329 375682685772 563524028658 1127048057316