Search a number
-
+
65416661456 = 24231073916553
BaseRepresentation
bin111100111011001000…
…110000100111010000
320020211222222201101012
4330323020300213100
52032433131131311
650015122030052
74504041306416
oct747310604720
9206758881335
1065416661456
1125819aaaa83
1210817aa8328
136226a12003
1432480152b6
151a7d05e78b
hexf3b2309d0

65416661456 has 40 divisors (see below), whose sum is σ = 132275730240. Its totient is φ = 31281426176.

The previous prime is 65416661447. The next prime is 65416661483.

65416661456 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3943676 + ... + 3960228.

It is an arithmetic number, because the mean of its divisors is an integer number (3306893256).

Almost surely, 265416661456 is an apocalyptic number.

It is an amenable number.

65416661456 is an abundant number, since it is smaller than the sum of its proper divisors (66859068784).

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

65416661456 is a wasteful number, since it uses less digits than its factorization.

65416661456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27323 (or 27317 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 50.

The spelling of 65416661456 in words is "sixty-five billion, four hundred sixteen million, six hundred sixty-one thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 23 46 92 184 368 10739 16553 21478 33106 42956 66212 85912 132424 171824 246997 264848 380719 493994 761438 987988 1522876 1975976 3045752 3951952 6091504 177762667 355525334 711050668 1422101336 2844202672 4088541341 8177082682 16354165364 32708330728 65416661456