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99148499700 = 223523179134951
BaseRepresentation
bin101110001010110110…
…1100000101011110100
3100110220211101122102120
41130111231200223310
53111024003442300
6113314224235540
710106664225225
oct1342555405364
9313824348376
1099148499700
113905981a348
121727076bbb0
139471297603
144b27d2b24c
1528a45dd3a0
hex1715b60af4

99148499700 has 144 divisors (see below), whose sum is σ = 299874140160. Its totient is φ = 25262640000.

The previous prime is 99148499699. The next prime is 99148499719. The reversal of 99148499700 is 799484199.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 667225 + ... + 802175.

Almost surely, 299148499700 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 99148499700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149937070080).

99148499700 is an abundant number, since it is smaller than the sum of its proper divisors (200725640460).

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

99148499700 is a wasteful number, since it uses less digits than its factorization.

99148499700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135078 (or 135071 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 60.

The spelling of 99148499700 in words is "ninety-nine billion, one hundred forty-eight million, four hundred ninety-nine thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 50 60 62 75 79 93 100 124 150 155 158 186 237 300 310 316 372 395 465 474 620 775 790 930 948 1185 1550 1580 1860 1975 2325 2370 2449 3100 3950 4650 4740 4898 5925 7347 7900 9300 9796 11850 12245 14694 23700 24490 29388 36735 48980 61225 73470 122450 134951 146940 183675 244900 269902 367350 404853 539804 674755 734700 809706 1349510 1619412 2024265 2699020 3373775 4048530 4183481 6747550 8097060 8366962 10121325 10661129 12550443 13495100 16733924 20242650 20917405 21322258 25100886 31983387 40485300 41834810 42644516 50201772 53305645 62752215 63966774 83669620 104587025 106611290 125504430 127933548 159916935 209174050 213222580 251008860 266528225 313761075 319833870 330494999 418348100 533056450 627522150 639667740 660989998 799584675 991484997 1066112900 1255044300 1321979996 1599169350 1652474995 1982969994 3198338700 3304949990 3965939988 4957424985 6609899980 8262374975 9914849970 16524749950 19829699940 24787124925 33049499900 49574249850 99148499700