Search a number
-
+
1005155064531 = 33137632704931
BaseRepresentation
bin11101010000001111110…
…10010001101011010011
310120002110222120211121000
432220013322101223103
5112432024144031111
62045432321233043
7132422452035462
oct16500772215323
93502428524530
101005155064531
11358313914202
12142980492783
1373a2a2aa597
1436914d509d9
151b22e0ecc56
hexea07e91ad3

1005155064531 has 16 divisors (see below), whose sum is σ = 1489227361920. Its totient is φ = 670054439880.

The previous prime is 1005155064509. The next prime is 1005155064559. The reversal of 1005155064531 is 1354605515001.

1005155064531 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 1 + 5 + 5 + 0 + 645 + 3 + 1 = 666.

It is not a de Polignac number, because 1005155064531 - 25 = 1005155064499 is a prime.

It is a super-2 number, since 2×10051550645312 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1005155064631) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 980865 + ... + 1724066.

It is an arithmetic number, because the mean of its divisors is an integer number (93076710120).

Almost surely, 21005155064531 is an apocalyptic number.

1005155064531 is a deficient number, since it is larger than the sum of its proper divisors (484072297389).

1005155064531 is a wasteful number, since it uses less digits than its factorization.

1005155064531 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2718703 (or 2718697 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 36.

The spelling of 1005155064531 in words is "one trillion, five billion, one hundred fifty-five million, sixty-four thousand, five hundred thirty-one".

Divisors: 1 3 9 27 13763 41289 123867 371601 2704931 8114793 24344379 73033137 37227965353 111683896059 335051688177 1005155064531