Search a number
-
+
10116160561665 = 33588198496941
BaseRepresentation
bin1001001100110101101000…
…1010000010001000000001
31022211002120121211012002000
42103031122022002020001
52311220344100433130
633303144445014213
72062603614002034
oct223153212021001
938732517735060
1010116160561665
11325026aa00304
1211746b5854369
13584c46a7a492
1426d8a659901b
15128227cdc260
hex9335a282201

10116160561665 has 32 divisors (see below), whose sum is σ = 17986326825600. Its totient is φ = 5394673218240.

The previous prime is 10116160561651. The next prime is 10116160561709. The reversal of 10116160561665 is 56616506161101.

10116160561665 is a `hidden beast` number, since 1 + 0 + 1 + 16 + 16 + 0 + 5 + 616 + 6 + 5 = 666.

It is not a de Polignac number, because 10116160561665 - 24 = 10116160561649 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 10116160561665.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3057906 + ... + 5439035.

It is an arithmetic number, because the mean of its divisors is an integer number (562072713300).

Almost surely, 210116160561665 is an apocalyptic number.

10116160561665 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10116160561665 is a deficient number, since it is larger than the sum of its proper divisors (7870166263935).

10116160561665 is an equidigital number, since it uses as much as digits as its factorization.

10116160561665 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8505774 (or 8505768 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 10116160561665 in words is "ten trillion, one hundred sixteen billion, one hundred sixty million, five hundred sixty-one thousand, six hundred sixty-five".

Divisors: 1 3 5 9 15 27 45 135 8819 26457 44095 79371 132285 238113 396855 1190565 8496941 25490823 42484705 76472469 127454115 229417407 382362345 1147087035 74934522679 224803568037 374672613395 674410704111 1124017840185 2023232112333 3372053520555 10116160561665