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65661416656 = 2411253476343
BaseRepresentation
bin111101001001101110…
…011011010011010000
320021111001112120101121
4331021232123103100
52033433310313111
650055304012024
74513102555423
oct751156332320
9207431476347
1065661416656
1125935181200
1210885a61014
136265639384
14326c7279ba
151a947a9871
hexf49b9b4d0

65661416656 has 60 divisors (see below), whose sum is σ = 139883956576. Its totient is φ = 29835812160.

The previous prime is 65661416629. The next prime is 65661416699.

65661416656 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×656614166562 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 10348621 + ... + 10354963.

Almost surely, 265661416656 is an apocalyptic number.

It is an amenable number.

65661416656 is an abundant number, since it is smaller than the sum of its proper divisors (74222539920).

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

65661416656 is a wasteful number, since it uses less digits than its factorization.

65661416656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11720 (or 11703 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 52.

The spelling of 65661416656 in words is "sixty-five billion, six hundred sixty-one million, four hundred sixteen thousand, six hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1936 5347 6343 10694 12686 21388 25372 42776 50744 58817 69773 85552 101488 117634 139546 235268 279092 470536 558184 646987 767503 941072 1116368 1293974 1535006 2587948 3070012 5175896 6140024 10351792 12280048 33916021 67832042 135664084 271328168 373076231 542656336 746152462 1492304924 2984609848 4103838541 5969219696 8207677082 16415354164 32830708328 65661416656