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65606434663680 = 28325172333534073
BaseRepresentation
bin11101110101011001100000…
…01110111010110100000000
322121021220200020022111000200
432322230300032322310000
532044343434233214210
6351311102514245200
716550623416330201
oct1672546016726400
9277256606274020
1065606434663680
11199a4595014229
127436b72286800
132a7b877725c51
14122b522b9b5a8
1578b891ed90c0
hex3bab303bad00

65606434663680 has 864 divisors, whose sum is σ = 242118598883616. Its totient is φ = 16344800034816.

The previous prime is 65606434663661. The next prime is 65606434663687. The reversal of 65606434663680 is 8636643460656.

65606434663680 is a `hidden beast` number, since 6 + 5 + 6 + 0 + 64 + 3 + 466 + 36 + 80 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 30335948964864 + 35270485698816 = 5507808^2 + 5938896^2 .

It is a super-2 number, since 2×656064346636802 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65606434663687) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16107642124 + ... + 16107646196.

It is an arithmetic number, because the mean of its divisors is an integer number (280229859819).

Almost surely, 265606434663680 is an apocalyptic number.

65606434663680 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65606434663680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121059299441808).

65606434663680 is an abundant number, since it is smaller than the sum of its proper divisors (176512164219936).

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

65606434663680 is a wasteful number, since it uses less digits than its factorization.

65606434663680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4703 (or 4686 counting only the distinct ones).

The product of its (nonzero) digits is 268738560, while the sum is 63.

The spelling of 65606434663680 in words is "sixty-five trillion, six hundred six billion, four hundred thirty-four million, six hundred sixty-three thousand, six hundred eighty".