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14123922632568 = 23327261791974217
BaseRepresentation
bin1100110110000111101101…
…1001000010111101111000
31212000020022110012221112200
43031201323121002331320
53322401243143220233
650012235051110200
72655263653346400
oct315417331027570
955006273187480
1014123922632568
114555a16130701
121701389142360
137b5b59a11978
1436b85c749800
151975e0445313
hexcd87b642f78

14123922632568 has 576 divisors, whose sum is σ = 46042925385600. Its totient is φ = 3898190499840.

The previous prime is 14123922632527. The next prime is 14123922632639. The reversal of 14123922632568 is 86523622932141.

14123922632568 is a `hidden beast` number, since 1 + 4 + 1 + 2 + 39 + 226 + 325 + 68 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3349279996 + ... + 3349284212.

It is an arithmetic number, because the mean of its divisors is an integer number (79935634350).

Almost surely, 214123922632568 is an apocalyptic number.

14123922632568 is a gapful number since it is divisible by the number (18) 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 14123922632568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23021462692800).

14123922632568 is an abundant number, since it is smaller than the sum of its proper divisors (31919002753032).

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

14123922632568 is a wasteful number, since it uses less digits than its factorization.

14123922632568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4580 (or 4566 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 54.

The spelling of 14123922632568 in words is "fourteen trillion, one hundred twenty-three billion, nine hundred twenty-two million, six hundred thirty-two thousand, five hundred sixty-eight".