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4556475001 = 133742122501
BaseRepresentation
bin1000011111001011…
…00100101001111001
3102202112210220122101
410033211210221321
533312424200001
62032045023401
7220625253451
oct41745445171
912675726571
104556475001
111a29014121
12a71b54b61
13577cbb170
1431320ad61
151ba046a01
hex10f964a79

4556475001 has 16 divisors (see below), whose sum is σ = 5051789008. Its totient is φ = 4082400000.

The previous prime is 4556474969. The next prime is 4556475067. The reversal of 4556475001 is 1005746554.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 16410601 + 4540064400 = 4051^2 + 67380^2 .

It is a 3-Lehmer number, since φ(4556475001) divides (4556475001-1)3.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 4556475001 - 25 = 4556474969 is a prime.

It is a super-2 number, since 2×45564750012 = 41522928869475900002, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a deceptive number, since it divides R4556475000.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4556475601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 191251 + ... + 213751.

It is an arithmetic number, because the mean of its divisors is an integer number (315736813).

It is a Poulet number, since it divides 24556475000-1.

Almost surely, 24556475001 is an apocalyptic number.

It is an amenable number.

4556475001 is a deficient number, since it is larger than the sum of its proper divisors (495314007).

4556475001 is a wasteful number, since it uses less digits than its factorization.

4556475001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22972.

The product of its (nonzero) digits is 84000, while the sum is 37.

The square root of 4556475001 is about 67501.6666534983. Note that the first 4 decimals coincide. The cubic root of 4556475001 is about 1657.8414631825.

The spelling of 4556475001 in words is "four billion, five hundred fifty-six million, four hundred seventy-five thousand, one".

Divisors: 1 13 37 421 481 5473 15577 22501 202501 292513 832537 9472921 10822981 123147973 350498077 4556475001