Search a number
-
+
166181960769 = 311172137138617
BaseRepresentation
bin1001101011000100110…
…1110111110001000001
3120212221111200021220220
42122301031313301001
510210320040221034
6204202024053253
715002100234306
oct2326115676101
9525844607826
10166181960769
1164528425850
122825a004229
1312894c44b86
14808696b0ad
1544c9569749
hex26b1377c41

166181960769 has 32 divisors (see below), whose sum is σ = 256059605376. Its totient is φ = 94746808320.

The previous prime is 166181960767. The next prime is 166181960771. The reversal of 166181960769 is 967069181661.

166181960769 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (166181960767) and next prime (166181960771).

It is not a de Polignac number, because 166181960769 - 21 = 166181960767 is a prime.

It is a super-2 number, since 2×1661819607692 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (166181960761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1129549 + ... + 1268165.

It is an arithmetic number, because the mean of its divisors is an integer number (8001862668).

Almost surely, 2166181960769 is an apocalyptic number.

It is an amenable number.

166181960769 is a deficient number, since it is larger than the sum of its proper divisors (89877644607).

166181960769 is a wasteful number, since it uses less digits than its factorization.

166181960769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140785.

The product of its (nonzero) digits is 5878656, while the sum is 60.

The spelling of 166181960769 in words is "one hundred sixty-six billion, one hundred eighty-one million, nine hundred sixty thousand, seven hundred sixty-nine".

Divisors: 1 3 11 17 33 51 187 561 2137 6411 23507 36329 70521 108987 138617 399619 415851 1198857 1524787 2356489 4574361 7069467 25921379 77764137 296224529 888673587 3258469819 5035816993 9775409457 15107450979 55393986923 166181960769