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198434001152 = 2819125715791
BaseRepresentation
bin1011100011001110010…
…1101001000100000000
3200222012012120200221002
42320303211221010000
511222343101014102
6231054225151132
720223244115462
oct2706345510400
9628165520832
10198434001152
1177178903082
123255b18b4a8
1315934a5c63a
14986611c132
155265c3e902
hex2e33969100

198434001152 has 72 divisors (see below), whose sum is σ = 399741253632. Its totient is φ = 98307276800.

The previous prime is 198434001149. The next prime is 198434001179. The reversal of 198434001152 is 251100434891.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12558377 + ... + 12574167.

It is an arithmetic number, because the mean of its divisors is an integer number (5551961856).

Almost surely, 2198434001152 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 198434001152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199870626816).

198434001152 is an abundant number, since it is smaller than the sum of its proper divisors (201307252480).

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

198434001152 is a wasteful number, since it uses less digits than its factorization.

198434001152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16255 (or 16241 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 38.

The spelling of 198434001152 in words is "one hundred ninety-eight billion, four hundred thirty-four million, one thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 128 191 256 257 382 514 764 1028 1528 2056 3056 4112 6112 8224 12224 15791 16448 24448 31582 32896 48896 49087 63164 65792 98174 126328 196348 252656 392696 505312 785392 1010624 1570784 2021248 3016081 3141568 4042496 4058287 6032162 6283136 8116574 12064324 12566272 16233148 24128648 32466296 48257296 64932592 96514592 129865184 193029184 259730368 386058368 519460736 772116736 775132817 1038921472 1550265634 3100531268 6201062536 12402125072 24804250144 49608500288 99217000576 198434001152