Search a number
-
+
1661696961661 = 112131104832311
BaseRepresentation
bin11000001011100100110…
…110110110110001111101
312212212010111222212111101
4120023210312312301331
5204211123410233121
63311212324453101
7231024254060602
oct30134466666175
95785114885441
101661696961661
115907a3683a00
1222a06ab4a191
13c090b107849
145a5d86b46a9
152d357cda491
hex182e4db6c7d

1661696961661 has 12 divisors (see below), whose sum is σ = 1840436069472. Its totient is φ = 1499102033000.

The previous prime is 1661696961653. The next prime is 1661696961709.

1661696961661 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1661696961661 - 23 = 1661696961653 is a prime.

It is a super-2 number, since 2×16616969616612 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1661696961593 and 1661696961602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1661696961601) 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 11 ways as a sum of consecutive naturals, for example, 52400305 + ... + 52432006.

It is an arithmetic number, because the mean of its divisors is an integer number (153369672456).

Almost surely, 21661696961661 is an apocalyptic number.

1661696961661 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1661696961661 is a deficient number, since it is larger than the sum of its proper divisors (178739107811).

1661696961661 is a wasteful number, since it uses less digits than its factorization.

1661696961661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104832464 (or 104832453 counting only the distinct ones).

The product of its digits is 22674816, while the sum is 64.

The spelling of 1661696961661 in words is "one trillion, six hundred sixty-one billion, six hundred ninety-six million, nine hundred sixty-one thousand, six hundred sixty-one".

Divisors: 1 11 121 131 1441 15851 104832311 1153155421 12684709631 13733032741 151063360151 1661696961661