Search a number
-
+
6228530759232 = 263523313311697
BaseRepresentation
bin101101010100011000101…
…0111010000011001000000
3211001102221000110222100000
41122220301113100121000
51304022012333243412
621125203022200000
71211665540626225
oct132506127203100
924042830428300
106228530759232
111a91561266311
1284716a423000
1336246a531512
1417766914194c
15ac0420654dc
hex5aa315d0640

6228530759232 has 672 divisors, whose sum is σ = 20014377836544. Its totient is φ = 1914911539200.

The previous prime is 6228530759159. The next prime is 6228530759249. The reversal of 6228530759232 is 2329570358226.

6228530759232 is a `hidden beast` number, since 6 + 2 + 2 + 8 + 530 + 75 + 9 + 2 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 3670317808 + ... + 3670319504.

It is an arithmetic number, because the mean of its divisors is an integer number (29783300352).

Almost surely, 26228530759232 is an apocalyptic number.

6228530759232 is a gapful number since it is divisible by the number (62) 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 6228530759232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10007188918272).

6228530759232 is an abundant number, since it is smaller than the sum of its proper divisors (13785847077312).

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

6228530759232 is a wasteful number, since it uses less digits than its factorization.

6228530759232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2109 (or 2087 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 6228530759232 in words is "six trillion, two hundred twenty-eight billion, five hundred thirty million, seven hundred fifty-nine thousand, two hundred thirty-two".