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4475074560 = 2113511171941
BaseRepresentation
bin1000010101011110…
…00011100000000000
3102112212122100020020
410022233003200000
533131104341220
62020020213440
7215616335415
oct41257034000
912485570206
104475074560
111997076830
12a4a83a280
1356418a518
1430649c10c
151b2d18040
hex10abc3800

4475074560 has 768 divisors, whose sum is σ = 17831923200. Its totient is φ = 943718400.

The previous prime is 4475074553. The next prime is 4475074573. The reversal of 4475074560 is 654705744.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 109148140 + ... + 109148180.

It is an arithmetic number, because the mean of its divisors is an integer number (23218650).

Almost surely, 24475074560 is an apocalyptic number.

4475074560 is a gapful number since it is divisible by the number (40) 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 4475074560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8915961600).

4475074560 is an abundant number, since it is smaller than the sum of its proper divisors (13356848640).

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

4475074560 is a wasteful number, since it uses less digits than its factorization.

4475074560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 42.

The square root of 4475074560 is about 66895.9980865821. The cubic root of 4475074560 is about 1647.9097572101.

The spelling of 4475074560 in words is "four billion, four hundred seventy-five million, seventy-four thousand, five hundred sixty".