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9999603900312 = 233132173153611447
BaseRepresentation
bin1001000110000011011011…
…0101101001111110011000
31022101221201120220022012120
42101200312311221332120
52302313142044302222
633133430555141240
72051306335505565
oct221406665517630
938357646808176
109999603900312
113205898792504
121155ba7144820
13576c60081300
14267daa6a186c
151251a52a015c
hex91836d69f98

9999603900312 has 768 divisors, whose sum is σ = 30660471889920. Its totient is φ = 2702580940800.

The previous prime is 9999603900289. The next prime is 9999603900353. The reversal of 9999603900312 is 2130093069999.

It is a happy number.

9999603900312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6910575573 + ... + 6910577019.

It is an arithmetic number, because the mean of its divisors is an integer number (39922489440).

Almost surely, 29999603900312 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 9999603900312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15330235944960).

9999603900312 is an abundant number, since it is smaller than the sum of its proper divisors (20660867989608).

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

9999603900312 is a wasteful number, since it uses less digits than its factorization.

9999603900312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1644 (or 1627 counting only the distinct ones).

The product of its (nonzero) digits is 6377292, while the sum is 60.

The spelling of 9999603900312 in words is "nine trillion, nine hundred ninety-nine billion, six hundred three million, nine hundred thousand, three hundred twelve".