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4023225775296 = 2638713211499
BaseRepresentation
bin111010100010111010111…
…100010111010011000000
3112020121122112002100000000
4322202322330113103000
51011404031244302141
612320124443000000
7563445166561530
oct72427274272300
915217575070000
104023225775296
111311271079392
1254b88a209000
13232508897c40
14dca21bdd4c0
156e9c00165b6
hex3a8baf174c0

4023225775296 has 1008 divisors, whose sum is σ = 14837708704000. Its totient is φ = 1053925447680.

The previous prime is 4023225775279. The next prime is 4023225775319. The reversal of 4023225775296 is 6925775223204.

4023225775296 is a `hidden beast` number, since 4 + 0 + 2 + 32 + 257 + 75 + 296 = 666.

4023225775296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×40232257752962 (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 an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8062576455 + ... + 8062576953.

Almost surely, 24023225775296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4023225775296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7418854352000).

4023225775296 is an abundant number, since it is smaller than the sum of its proper divisors (10814482928704).

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

4023225775296 is an equidigital number, since it uses as much as digits as its factorization.

4023225775296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 54.

The spelling of 4023225775296 in words is "four trillion, twenty-three billion, two hundred twenty-five million, seven hundred seventy-five thousand, two hundred ninety-six".