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14683015421568 = 273613176710627
BaseRepresentation
bin1101010110101010011111…
…1010110001111010000000
31220222200102120221101000000
43111222213322301322000
53411031303421442233
651121141214000000
73043545544552524
oct325524772617200
956880376841000
1014683015421568
1147510394690aa
1217918001a6000
138267aa669c80
1438a939b49d84
151a6e13d27d13
hexd5aa7eb1e80

14683015421568 has 896 divisors, whose sum is σ = 50759968230720. Its totient is φ = 4188236709888.

The previous prime is 14683015421549. The next prime is 14683015421611. The reversal of 14683015421568 is 86512451038641.

14683015421568 is a `hidden beast` number, since 1 + 4 + 6 + 8 + 3 + 0 + 1 + 54 + 21 + 568 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1381665471 + ... + 1381676097.

Almost surely, 214683015421568 is an apocalyptic number.

14683015421568 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 14683015421568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25379984115360).

14683015421568 is an abundant number, since it is smaller than the sum of its proper divisors (36076952809152).

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

14683015421568 is a wasteful number, since it uses less digits than its factorization.

14683015421568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10756 (or 10729 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 14683015421568 in words is "fourteen trillion, six hundred eighty-three billion, fifteen million, four hundred twenty-one thousand, five hundred sixty-eight".