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4226521005 = 33574472509
BaseRepresentation
bin1111101111101011…
…1001011110101101
3101220112221111212000
43323322321132231
532123442133010
61535221002513
7206510556450
oct37372713655
911815844760
104226521005
111879840873
1299b553439
13524833305
142c147b497
1519b0bc7c0
hexfbeb97ad

4226521005 has 32 divisors (see below), whose sum is σ = 8587219200. Its totient is φ = 1932123456.

The previous prime is 4226520973. The next prime is 4226521067. The reversal of 4226521005 is 5001256224.

4226521005 is a `hidden beast` number, since 4 + 2 + 2 + 652 + 1 + 0 + 0 + 5 = 666.

It is not a de Polignac number, because 4226521005 - 25 = 4226520973 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 4226521005.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 2235310 + ... + 2237199.

It is an arithmetic number, because the mean of its divisors is an integer number (268350600).

Almost surely, 24226521005 is an apocalyptic number.

4226521005 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4226521005 is an abundant number, since it is smaller than the sum of its proper divisors (4360698195).

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

4226521005 is a wasteful number, since it uses less digits than its factorization.

4226521005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4472530 (or 4472524 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 4226521005 is about 65011.6989856441. The cubic root of 4226521005 is about 1616.8175347685.

Adding to 4226521005 its reverse (5001256224), we get a palindrome (9227777229).

The spelling of 4226521005 in words is "four billion, two hundred twenty-six million, five hundred twenty-one thousand, five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 945 4472509 13417527 22362545 31307563 40252581 67087635 93922689 120757743 156537815 201262905 281768067 469613445 603788715 845304201 1408840335 4226521005