Search a number
-
+
16130561656041 = 337402121225289
BaseRepresentation
bin1110101010111011000001…
…1001011100010011101001
32010010001210120120010121000
43222232300121130103221
54103240342240443131
654150135553305213
73253252232542140
oct352566031342351
963101716503530
1016130561656041
115159a29594048
121986264565209
1390014a8518a1
143daa1ac2c757
151ce8d61d5ce6
hexeabb065c4e9

16130561656041 has 32 divisors (see below), whose sum is σ = 27317797241600. Its totient is φ = 9215171038080.

The previous prime is 16130561656039. The next prime is 16130561656091. The reversal of 16130561656041 is 14065616503161.

16130561656041 is a `hidden beast` number, since 1 + 6 + 1 + 30 + 5 + 6 + 1 + 6 + 5 + 604 + 1 = 666.

It is not a de Polignac number, because 16130561656041 - 21 = 16130561656039 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16130561656031) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 9852676 + ... + 11372613.

It is an arithmetic number, because the mean of its divisors is an integer number (853681163800).

Almost surely, 216130561656041 is an apocalyptic number.

It is an amenable number.

16130561656041 is a deficient number, since it is larger than the sum of its proper divisors (11187235585559).

16130561656041 is a wasteful number, since it uses less digits than its factorization.

16130561656041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21229326 (or 21229320 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 16130561656041 in words is "sixteen trillion, one hundred thirty billion, five hundred sixty-one million, six hundred fifty-six thousand, forty-one".

Divisors: 1 3 7 9 21 27 63 189 4021 12063 28147 36189 84441 108567 253323 759969 21225289 63675867 148577023 191027601 445731069 573082803 1337193207 4011579621 85346887069 256040661207 597428209483 768121983621 1792284628449 2304365950863 5376853885347 16130561656041