Search a number
-
+
331976696832 = 21033111973787
BaseRepresentation
bin1001101010010110101…
…10100110010000000000
31011201220000201112102000
410311023112212100000
520414342013244312
6412301420424000
732661456235614
oct4651326462000
91151800645360
10331976696832
11118877210980
125440a3a8000
13253c789c2b1
14120d3cdb344
15897eae5adc
hex4d4b5a6400

331976696832 has 704 divisors, whose sum is σ = 1145900774400. Its totient is φ = 93879336960.

The previous prime is 331976696827. The next prime is 331976696873. The reversal of 331976696832 is 238696679133.

It is a tau number, because it is divible by the number of its divisors (704).

It is a super-2 number, since 2×3319766968322 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 331976696832.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 421825143 + ... + 421825929.

Almost surely, 2331976696832 is an apocalyptic number.

331976696832 is a gapful number since it is divisible by the number (32) 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 331976696832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572950387200).

331976696832 is an abundant number, since it is smaller than the sum of its proper divisors (813924077568).

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

331976696832 is a wasteful number, since it uses less digits than its factorization.

331976696832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919 (or 895 counting only the distinct ones).

The product of its digits is 52907904, while the sum is 63.

The spelling of 331976696832 in words is "three hundred thirty-one billion, nine hundred seventy-six million, six hundred ninety-six thousand, eight hundred thirty-two".