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4805678132928 = 2632257283114713
BaseRepresentation
bin100010111101110100010…
…1111001110111011000000
3122000102021222020110222100
41011323220233032323000
51112214012100223203
614115410440310400
71004125120100421
oct105735057167300
918012258213870
104805678132928
111593093027702
12657457a72400
1328b234257b7a
1412884b84b648
1585017a06ea3
hex45ee8bceec0

4805678132928 has 168 divisors, whose sum is σ = 13877190267408. Its totient is φ = 1590007431168.

The previous prime is 4805678132917. The next prime is 4805678132951. The reversal of 4805678132928 is 8292318765084.

4805678132928 is a `hidden beast` number, since 48 + 0 + 567 + 8 + 1 + 3 + 2 + 9 + 28 = 666.

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 23 ways as a sum of consecutive naturals, for example, 41835700 + ... + 41950412.

It is a 1-persistent number, because it is pandigital, but 2⋅4805678132928 = 9611356265856 is not.

Almost surely, 24805678132928 is an apocalyptic number.

4805678132928 is a gapful number since it is divisible by the number (48) 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 4805678132928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6938595133704).

4805678132928 is an abundant number, since it is smaller than the sum of its proper divisors (9071512134480).

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

4805678132928 is a wasteful number, since it uses less digits than its factorization.

4805678132928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115271 (or 115258 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 4805678132928 in words is "four trillion, eight hundred five billion, six hundred seventy-eight million, one hundred thirty-two thousand, nine hundred twenty-eight".