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331904221056 = 2735311073217
BaseRepresentation
bin1001101010001110000…
…10000111111110000000
31011201200222100101100000
410311013002013332000
520414214440033211
6412250311200000
732656616221152
oct4650702077600
91151628311300
10331904221056
1111883a309841
12543aa076000
13253b5874915
14120c8432ad2
15897857b656
hex4d47087f80

331904221056 has 384 divisors, whose sum is σ = 1032289090560. Its totient is φ = 106032291840.

The previous prime is 331904221043. The next prime is 331904221063. The reversal of 331904221056 is 650122409133.

331904221056 is a `hidden beast` number, since 33 + 190 + 422 + 10 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×3319042210562 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 331904221056.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 103170360 + ... + 103173576.

It is an arithmetic number, because the mean of its divisors is an integer number (2688252840).

Almost surely, 2331904221056 is an apocalyptic number.

331904221056 is a gapful number since it is divisible by the number (36) 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 331904221056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516144545280).

331904221056 is an abundant number, since it is smaller than the sum of its proper divisors (700384869504).

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

331904221056 is a wasteful number, since it uses less digits than its factorization.

331904221056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3384 (or 3360 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 331904221056 in words is "three hundred thirty-one billion, nine hundred four million, two hundred twenty-one thousand, fifty-six".