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330794386416 = 24321319671271093
BaseRepresentation
bin1001101000001001110…
…00011100001111110000
31011121211121222221102100
410310010320130033300
520404431330331131
6411544223420400
732620251614514
oct4640470341760
91147747887370
10330794386416
1111831a89762a
125413a454700
132526995c730
1412020c94144
158910e017e6
hex4d04e1c3f0

330794386416 has 480 divisors, whose sum is σ = 1074482339840. Its totient is φ = 94152554496.

The previous prime is 330794386409. The next prime is 330794386453. The reversal of 330794386416 is 614683497033.

It is a happy number.

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 95 ways as a sum of consecutive naturals, for example, 302647566 + ... + 302648658.

Almost surely, 2330794386416 is an apocalyptic number.

330794386416 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 330794386416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537241169920).

330794386416 is an abundant number, since it is smaller than the sum of its proper divisors (743687953424).

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

330794386416 is a wasteful number, since it uses less digits than its factorization.

330794386416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333 (or 1324 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 330794386416 in words is "three hundred thirty billion, seven hundred ninety-four million, three hundred eighty-six thousand, four hundred sixteen".