Search a number
-
+
331403101568 = 27711215831931
BaseRepresentation
bin1001101001010010010…
…10100000010110000000
31011200102001101212121222
410310221022200112000
520412203143222233
6412124450334212
732641322612330
oct4645112402600
91150361355558
10331403101568
11118602458300
125428a28a368
1325335aba106
141207ba690c0
158949591898
hex4d292a0580

331403101568 has 192 divisors, whose sum is σ = 830317340160. Its totient is φ = 128969702400.

The previous prime is 331403101567. The next prime is 331403101621. The reversal of 331403101568 is 865101304133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331403101567) 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 23 ways as a sum of consecutive naturals, for example, 171621563 + ... + 171623493.

It is an arithmetic number, because the mean of its divisors is an integer number (4324569480).

Almost surely, 2331403101568 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 331403101568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415158670080).

331403101568 is an abundant number, since it is smaller than the sum of its proper divisors (498914238592).

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

331403101568 is a wasteful number, since it uses less digits than its factorization.

331403101568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3557 (or 3534 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The spelling of 331403101568 in words is "three hundred thirty-one billion, four hundred three million, one hundred one thousand, five hundred sixty-eight".