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4221028512 = 253233144279
BaseRepresentation
bin1111101110010111…
…1100100010100000
3101220011121110120100
43323211330202200
532121040403022
61534503142400
7206413102401
oct37345744240
911804543510
104221028512
11187672a218
12999744a00
1352365c30c
142c084b9a8
1519a8851ac
hexfb97c8a0

4221028512 has 72 divisors (see below), whose sum is σ = 12040086240. Its totient is φ = 1402727040.

The previous prime is 4221028501. The next prime is 4221028519. The reversal of 4221028512 is 2158201224.

4221028512 is a `hidden beast` number, since 42 + 2 + 102 + 8 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (4221028519) 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 11 ways as a sum of consecutive naturals, for example, 73189 + ... + 117467.

It is an arithmetic number, because the mean of its divisors is an integer number (167223420).

Almost surely, 24221028512 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 4221028512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6020043120).

4221028512 is an abundant number, since it is smaller than the sum of its proper divisors (7819057728).

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

4221028512 is a wasteful number, since it uses less digits than its factorization.

4221028512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44626 (or 44615 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 4221028512 is about 64969.4429097249. The cubic root of 4221028512 is about 1616.1168632606.

Adding to 4221028512 its reverse (2158201224), we get a palindrome (6379229736).

The spelling of 4221028512 in words is "four billion, two hundred twenty-one million, twenty-eight thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 331 662 993 1324 1986 2648 2979 3972 5296 5958 7944 10592 11916 15888 23832 31776 44279 47664 88558 95328 132837 177116 265674 354232 398511 531348 708464 797022 1062696 1416928 1594044 2125392 3188088 4250784 6376176 12752352 14656349 29312698 43969047 58625396 87938094 117250792 131907141 175876188 234501584 263814282 351752376 469003168 527628564 703504752 1055257128 1407009504 2110514256 4221028512