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6396535111680 = 218355719151
BaseRepresentation
bin101110100010100111100…
…1101000000000000000000
3211122111120112022100200000
41131011033031000000000
51314300100442033210
621334305550400000
71230064050231030
oct135051715000000
924574515270600
106396535111680
11204683434998a
12873836800000
13375262ba635c
14181845b338c0
15b15c65acac0
hex5d14f340000

6396535111680 has 1824 divisors, whose sum is σ = 27847441090560. Its totient is φ = 1375941427200.

The previous prime is 6396535111667. The next prime is 6396535111711. The reversal of 6396535111680 is 861115356936.

6396535111680 is a `hidden beast` number, since 6 + 3 + 9 + 6 + 535 + 11 + 16 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1824).

It is a super-2 number, since 2×63965351116802 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42361159605 + ... + 42361159755.

It is an arithmetic number, because the mean of its divisors is an integer number (15267237440).

Almost surely, 26396535111680 is an apocalyptic number.

6396535111680 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 6396535111680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13923720545280).

6396535111680 is an abundant number, since it is smaller than the sum of its proper divisors (21450905978880).

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

6396535111680 is an frugal number, since it uses more digits than its factorization.

6396535111680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 6396535111680 in words is "six trillion, three hundred ninety-six billion, five hundred thirty-five million, one hundred eleven thousand, six hundred eighty".