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198240371628 = 223131998297703
BaseRepresentation
bin1011100010100000001…
…1000000001110101100
3200221200201020022011020
42320220003000032230
511221444013343003
6231023111054140
720215403233065
oct2705003001654
9627621208136
10198240371628
1177089581382
1232506371350
13159038c5b60
14984851756c
155253c42d53
hex2e280c03ac

198240371628 has 96 divisors (see below), whose sum is σ = 501314688000. Its totient is φ = 60609441024.

The previous prime is 198240371603. The next prime is 198240371629. The reversal of 198240371628 is 826173042891.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (198240371629) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25731625 + ... + 25739327.

It is an arithmetic number, because the mean of its divisors is an integer number (5222028000).

Almost surely, 2198240371628 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 198240371628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250657344000).

198240371628 is an abundant number, since it is smaller than the sum of its proper divisors (303074316372).

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

198240371628 is a wasteful number, since it uses less digits than its factorization.

198240371628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8751 (or 8749 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The spelling of 198240371628 in words is "one hundred ninety-eight billion, two hundred forty million, three hundred seventy-one thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 199 398 597 796 829 1194 1658 2388 2487 2587 3316 4974 5174 7703 7761 9948 10348 10777 15406 15522 21554 23109 30812 31044 32331 43108 46218 64662 92436 100139 129324 164971 200278 300417 329942 400556 494913 600834 659884 989826 1201668 1532897 1979652 2144623 3065794 4289246 4598691 6131588 6385787 6433869 8578492 9197382 12771574 12867738 18394764 19157361 19927661 25543148 25735476 38314722 39855322 59782983 76629444 79710644 83015231 119565966 166030462 239131932 249045693 332060924 498091386 996182772 1270771613 2541543226 3812314839 5083086452 7624629678 15249259356 16520030969 33040061938 49560092907 66080123876 99120185814 198240371628