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331262149056 = 263173119316963
BaseRepresentation
bin1001101001000001100…
…00110100000111000000
31011200001020011202010120
410310200300310013000
520411411102232211
6412102453300240
732634661544136
oct4644060640700
91150036152116
10331262149056
1111853a935623
125424b034680
1325312838367
1412067057756
15893beecd06
hex4d20c341c0

331262149056 has 224 divisors, whose sum is σ = 962977609728. Its totient is φ = 100045946880.

The previous prime is 331262149033. The next prime is 331262149111. The reversal of 331262149056 is 650941262133.

It is a super-2 number, since 2×3312621490562 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 331262148999 and 331262149017.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 19520031 + ... + 19536993.

Almost surely, 2331262149056 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 331262149056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481488804864).

331262149056 is an abundant number, since it is smaller than the sum of its proper divisors (631715460672).

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

331262149056 is a wasteful number, since it uses less digits than its factorization.

331262149056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17219 (or 17209 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The spelling of 331262149056 in words is "three hundred thirty-one billion, two hundred sixty-two million, one hundred forty-nine thousand, fifty-six".