Search a number
-
+
23664433446632 = 23116117924628081
BaseRepresentation
bin1010110000101110011100…
…01001100011111011101000
310002210022001001111001210102
411120113032021203323220
511100204224430243012
6122155142440204532
74661461502262056
oct530271611437350
9102708031431712
1023664433446632
1175a4036828450
1227a23aaa69748
131028714872004
145bb5169d11d6
152b0875ede2c2
hex1585ce263ee8

23664433446632 has 64 divisors (see below), whose sum is σ = 49472891121600. Its totient is φ = 10521115776000.

The previous prime is 23664433446631. The next prime is 23664433446677.

23664433446632 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (23664433446631) 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 15 ways as a sum of consecutive naturals, for example, 11353169 + ... + 13274912.

It is an arithmetic number, because the mean of its divisors is an integer number (773013923775).

Almost surely, 223664433446632 is an apocalyptic number.

23664433446632 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23664433446632 is an abundant number, since it is smaller than the sum of its proper divisors (25808457674968).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23664433446632 is a wasteful number, since it uses less digits than its factorization.

23664433446632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24628338 (or 24628334 counting only the distinct ones).

The product of its digits is 107495424, while the sum is 56.

The spelling of 23664433446632 in words is "twenty-three trillion, six hundred sixty-four billion, four hundred thirty-three million, four hundred forty-six thousand, six hundred thirty-two".

Divisors: 1 2 4 8 11 22 44 61 88 122 179 244 358 488 671 716 1342 1432 1969 2684 3938 5368 7876 10919 15752 21838 43676 87352 120109 240218 480436 960872 24628081 49256162 98512324 197024648 270908891 541817782 1083635564 1502312941 2167271128 3004625882 4408426499 6009251764 8816852998 12018503528 16525442351 17633705996 33050884702 35267411992 48492691489 66101769404 96985382978 132203538808 193970765956 268914016439 387941531912 537828032878 1075656065756 2151312131512 2958054180829 5916108361658 11832216723316 23664433446632