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6592116664320 = 211351167491593
BaseRepresentation
bin101111111101101100011…
…0001011010100000000000
3212100012101221111122211220
41133323120301122200000
51331001123331224240
622004213202035040
71250156540055225
oct137733061324000
925305357448756
106592116664320
1121117790011a0
128a571a648a80
1338a8319a3a25
1418b0bb09794c
15b6721ba25d0
hex5fed8c5a800

6592116664320 has 768 divisors, whose sum is σ = 23437260887040. Its totient is φ = 1568381337600.

The previous prime is 6592116664261. The next prime is 6592116664363. The reversal of 6592116664320 is 234666112956.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×65921166643202 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11116553944 + ... + 11116554536.

It is an arithmetic number, because the mean of its divisors is an integer number (30517266780).

Almost surely, 26592116664320 is an apocalyptic number.

6592116664320 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 6592116664320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11718630443520).

6592116664320 is an abundant number, since it is smaller than the sum of its proper divisors (16845144222720).

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

6592116664320 is a wasteful number, since it uses less digits than its factorization.

6592116664320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1192 (or 1172 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 51.

The spelling of 6592116664320 in words is "six trillion, five hundred ninety-two billion, one hundred sixteen million, six hundred sixty-four thousand, three hundred twenty".