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1908968706432 = 27324147859933
BaseRepresentation
bin11011110001110111011…
…001101101000110000000
320202111101022102000000200
4123301313121231012000
5222234031442101212
64020545040245200
7254630011163514
oct33616731550600
96674338360020
101908968706432
11676653082667
12269b79910800
1310b026b99218
1468574a1a144
15349cb33c6dc
hex1bc7766d180

1908968706432 has 192 divisors, whose sum is σ = 5746973319360. Its totient is φ = 607593553920.

The previous prime is 1908968706409. The next prime is 1908968706461. The reversal of 1908968706432 is 2346078698091.

1908968706432 is a `hidden beast` number, since 190 + 8 + 9 + 6 + 8 + 7 + 0 + 6 + 432 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 1908968706432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1789938 + ... + 2649870.

It is an arithmetic number, because the mean of its divisors is an integer number (29932152705).

Almost surely, 21908968706432 is an apocalyptic number.

1908968706432 is a gapful number since it is divisible by the number (12) 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 1908968706432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2873486659680).

1908968706432 is an abundant number, since it is smaller than the sum of its proper divisors (3838004612928).

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

1908968706432 is a wasteful number, since it uses less digits than its factorization.

1908968706432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860041 (or 860026 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 1908968706432 in words is "one trillion, nine hundred eight billion, nine hundred sixty-eight million, seven hundred six thousand, four hundred thirty-two".