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9416065411368 = 2335721121923173
BaseRepresentation
bin1000100100000101100100…
…1110111110100100101000
31020100011111210021122200000
42021001121032332210220
52213233100221130433
632005403012143000
71661200610262300
oct211013116764450
936304453248600
109416065411368
1130003704a2900
121080a91307a60
13533c149a72b5
14247a507a6600
15114e006dc113
hex890593be928

9416065411368 has 2592 divisors, whose sum is σ = 37344428110080. Its totient is φ = 2211550387200.

The previous prime is 9416065411367. The next prime is 9416065411369. The reversal of 9416065411368 is 8631145606149.

9416065411368 is a `hidden beast` number, since 9 + 4 + 1 + 60 + 6 + 541 + 1 + 36 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (9416065411367) and next prime (9416065411369).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (9416065411367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 647 ways as a sum of consecutive naturals, for example, 128987197380 + ... + 128987197452.

Almost surely, 29416065411368 is an apocalyptic number.

9416065411368 is a gapful number since it is divisible by the number (98) 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 9416065411368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18672214055040).

9416065411368 is an abundant number, since it is smaller than the sum of its proper divisors (27928362698712).

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

9416065411368 is a wasteful number, since it uses less digits than its factorization.

9416065411368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 9416065411368 in words is "nine trillion, four hundred sixteen billion, sixty-five million, four hundred eleven thousand, three hundred sixty-eight".