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198234992640 = 2123517533581
BaseRepresentation
bin1011100010011110111…
…0011111000000000000
3200221200100010000120110
42320213232133000000
511221441124231030
6231022355511320
720215306430646
oct2704756370000
9627610100513
10198234992640
1177086538033
12325045b8540
1315902761719
149847917196
15525352e1b0
hex2e27b9f000

198234992640 has 416 divisors, whose sum is σ = 684447299136. Its totient is φ = 48800727040.

The previous prime is 198234992621. The next prime is 198234992663. The reversal of 198234992640 is 46299432891.

It is a super-2 number, since 2×1982349926402 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55355650 + ... + 55359230.

Almost surely, 2198234992640 is an apocalyptic number.

198234992640 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 198234992640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342223649568).

198234992640 is an abundant number, since it is smaller than the sum of its proper divisors (486212306496).

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

198234992640 is a wasteful number, since it uses less digits than its factorization.

198234992640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3683 (or 3661 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 57.

The spelling of 198234992640 in words is "one hundred ninety-eight billion, two hundred thirty-four million, nine hundred ninety-two thousand, six hundred forty".