Search a number
-
+
6466332500000 = 255717233653
BaseRepresentation
bin101111000011000111101…
…1100111010000000100000
3211220011201211102001120022
41132012033130322000200
51321421022110000000
621430331522533012
71235114514235052
oct136061734720040
924804654361508
106466332500000
1120733a113488a
12885275807168
1337ba07360a29
14184d878878d2
15b330deea585
hex5e18f73a020

6466332500000 has 384 divisors, whose sum is σ = 16947498020544. Its totient is φ = 2420224000000.

The previous prime is 6466332499993. The next prime is 6466332500027. The reversal of 6466332500000 is 52336646.

It can be written as a sum of positive squares in 32 ways, for example, as 4104983957776 + 2361348542224 = 2026076^2 + 1536668^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9902499674 + ... + 9902500326.

Almost surely, 26466332500000 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 6466332500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8473749010272).

6466332500000 is an abundant number, since it is smaller than the sum of its proper divisors (10481165520544).

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

6466332500000 is an frugal number, since it uses more digits than its factorization.

6466332500000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 35.

Adding to 6466332500000 its reverse (52336646), we get a palindrome (6466384836646).

The spelling of 6466332500000 in words is "six trillion, four hundred sixty-six billion, three hundred thirty-two million, five hundred thousand".