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198099029844 = 223289495712473
BaseRepresentation
bin1011100001111110011…
…1110100111101010100
3200221022212021101200100
42320133213310331110
511221201322423334
6231001101414100
720212035653652
oct2703747647524
9627285241610
10198099029844
1177016813191
1232486b6a330
13158b0538b71
149833843dd2
155246623c99
hex2e1f9f4f54

198099029844 has 72 divisors (see below), whose sum is σ = 506519493480. Its totient is φ = 65272660992.

The previous prime is 198099029827. The next prime is 198099029861. The reversal of 198099029844 is 448920990891.

It is an interprime number because it is at equal distance from previous prime (198099029827) and next prime (198099029861).

It can be written as a sum of positive squares in 4 ways, for example, as 49150890000 + 148948139844 = 221700^2 + 385938^2 .

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 23 ways as a sum of consecutive naturals, for example, 15875992 + ... + 15888464.

It is an arithmetic number, because the mean of its divisors is an integer number (7034992965).

Almost surely, 2198099029844 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 198099029844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253259746740).

198099029844 is an abundant number, since it is smaller than the sum of its proper divisors (308420463636).

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

198099029844 is a wasteful number, since it uses less digits than its factorization.

198099029844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17529 (or 17524 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 63.

The spelling of 198099029844 in words is "one hundred ninety-eight billion, ninety-nine million, twenty-nine thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 89 178 267 356 534 801 1068 1602 3204 4957 9914 12473 14871 19828 24946 29742 37419 44613 49892 59484 74838 89226 112257 149676 178452 224514 441173 449028 882346 1110097 1323519 1764692 2220194 2647038 3330291 3970557 4440388 5294076 6660582 7941114 9990873 13321164 15882228 19981746 39963492 61828661 123657322 185485983 247314644 370971966 556457949 741943932 1112915898 2225831796 5502750829 11005501658 16508252487 22011003316 33016504974 49524757461 66033009948 99049514922 198099029844