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4227903264 = 2531317349571
BaseRepresentation
bin1111110000000000…
…1010111100100000
3101220122112201221210
43330000022330200
532124320401024
61535310350120
7206525404404
oct37400127440
911818481853
104227903264
11187a5a5332
1299babb340
13524bc8510
142c171b104
1519b292129
hexfc00af20

4227903264 has 192 divisors, whose sum is σ = 12713500800. Its totient is φ = 1218723840.

The previous prime is 4227903257. The next prime is 4227903269. The reversal of 4227903264 is 4623097224.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (4227903269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7404099 + ... + 7404669.

It is an arithmetic number, because the mean of its divisors is an integer number (66216150).

Almost surely, 24227903264 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 4227903264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6356750400).

4227903264 is an abundant number, since it is smaller than the sum of its proper divisors (8485597536).

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

4227903264 is a wasteful number, since it uses less digits than its factorization.

4227903264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963 (or 955 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The square root of 4227903264 is about 65022.3289647487. The cubic root of 4227903264 is about 1616.9937724667.

The spelling of 4227903264 in words is "four billion, two hundred twenty-seven million, nine hundred three thousand, two hundred sixty-four".