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328163130588816 = 243417293591430683
BaseRepresentation
bin100101010011101100110111…
…0110100111011111010010000
31121000221002101210210000220000
41022213121232310323322100
5321003111042412320231
63121540021101050000
7126060001203612435
oct11247315664737220
91530832353700800
10328163130588816
1195621225027636
1230980268556900
131111585bcc4623
145b07274923b8c
1527e1421d846e6
hex12a766ed3be90

328163130588816 has 400 divisors, whose sum is σ = 1043246760969600. Its totient is φ = 99126072815616.

The previous prime is 328163130588803. The next prime is 328163130588883. The reversal of 328163130588816 is 618885031361823.

328163130588816 is a `hidden beast` number, since 3 + 2 + 8 + 1 + 6 + 3 + 1 + 30 + 588 + 8 + 16 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 228659811 + ... + 230090493.

It is an arithmetic number, because the mean of its divisors is an integer number (2608116902424).

Almost surely, 2328163130588816 is an apocalyptic number.

328163130588816 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 328163130588816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521623380484800).

328163130588816 is an abundant number, since it is smaller than the sum of its proper divisors (715083630380784).

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

328163130588816 is a wasteful number, since it uses less digits than its factorization.

328163130588816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1431108 (or 1431093 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 328163130588816 in words is "three hundred twenty-eight trillion, one hundred sixty-three billion, one hundred thirty million, five hundred eighty-eight thousand, eight hundred sixteen".