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1373998331160 = 233557132192331
BaseRepresentation
bin10011111111101000101…
…011101011010100011000
311212100112022021011100000
4103333220223223110120
5140002422033044120
62531112304413000
7201160650054240
oct23775053532430
94770468234300
101373998331160
1148a789268684
121a2359317160
139c74b9caa00
144a7051dcb20
1525b1a57b990
hex13fe8aeb518

1373998331160 has 1728 divisors, whose sum is σ = 6066637274880. Its totient is φ = 273811000320.

The previous prime is 1373998331093. The next prime is 1373998331183. The reversal of 1373998331160 is 611338993731.

1373998331160 is a `hidden beast` number, since 1 + 37 + 39 + 98 + 331 + 160 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1373998331097 and 1373998331106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 4151052195 + ... + 4151052525.

It is an arithmetic number, because the mean of its divisors is an integer number (3510785460).

Almost surely, 21373998331160 is an apocalyptic number.

1373998331160 is a gapful number since it is divisible by the number (10) 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 1373998331160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3033318637440).

1373998331160 is an abundant number, since it is smaller than the sum of its proper divisors (4692638943720).

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

1373998331160 is a wasteful number, since it uses less digits than its factorization.

1373998331160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

The spelling of 1373998331160 in words is "one trillion, three hundred seventy-three billion, nine hundred ninety-eight million, three hundred thirty-one thousand, one hundred sixty".