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198153984001 = 737013872237
BaseRepresentation
bin1011100010001011100…
…1011101100000000001
3200221110200200100121111
42320202321131200001
511221304404442001
6231010343323321
720213304034111
oct2704271354001
9627420610544
10198153984001
1177044838046
12324a1450541
13158bba3a20c
14983ac6b041
15524b37b851
hex2e22e5d801

198153984001 has 8 divisors (see below), whose sum is σ = 201155019624. Its totient is φ = 195160694400.

The previous prime is 198153983981. The next prime is 198153984013. The reversal of 198153984001 is 100489351891.

It can be written as a sum of positive squares in 4 ways, for example, as 27035251776 + 171118732225 = 164424^2 + 413665^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 198153984001 - 237 = 60715030529 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (198153984701) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1884946 + ... + 1987291.

It is an arithmetic number, because the mean of its divisors is an integer number (25144377453).

Almost surely, 2198153984001 is an apocalyptic number.

It is an amenable number.

198153984001 is a deficient number, since it is larger than the sum of its proper divisors (3001035623).

198153984001 is an equidigital number, since it uses as much as digits as its factorization.

198153984001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3873011.

The product of its (nonzero) digits is 311040, while the sum is 49.

The spelling of 198153984001 in words is "one hundred ninety-eight billion, one hundred fifty-three million, nine hundred eighty-four thousand, one".

Divisors: 1 73 701 51173 3872237 282673301 2714438137 198153984001