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1900008099198 = 2321129527362753
BaseRepresentation
bin11011101001100001010…
…011101100110101111110
320201122020211102222201200
4123221201103230311332
5222112204033133243
64012503543320330
7254161654241256
oct33514123546576
96648224388650
101900008099198
11672875047840
12268298a500a6
1310a22962c271
1467d6493a966
1534654842ad3
hex1ba614ecd7e

1900008099198 has 96 divisors (see below), whose sum is σ = 4646742927840. Its totient is φ = 555791953920.

The previous prime is 1900008099029. The next prime is 1900008099229. The reversal of 1900008099198 is 8919908000091.

It is a super-2 number, since 2×19000080991982 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30246190 + ... + 30308942.

It is an arithmetic number, because the mean of its divisors is an integer number (48403572165).

Almost surely, 21900008099198 is an apocalyptic number.

1900008099198 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1900008099198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2323371463920).

1900008099198 is an abundant number, since it is smaller than the sum of its proper divisors (2746734828642).

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

1900008099198 is a wasteful number, since it uses less digits than its factorization.

1900008099198 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68074 (or 68071 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 54.

The spelling of 1900008099198 in words is "one trillion, nine hundred billion, eight million, ninety-nine thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 9 11 18 22 29 33 58 66 87 99 174 198 261 319 522 638 957 1914 2871 5273 5742 10546 15819 31638 47457 58003 62753 94914 116006 125506 152917 174009 188259 305834 348018 376518 458751 522027 564777 690283 917502 1044054 1129554 1376253 1380566 1682087 1819837 2070849 2752506 3364174 3639674 4141698 5046261 5459511 6212547 10092522 10919022 12425094 15138783 16378533 20018207 30277566 32757066 40036414 60054621 120109242 180163863 330896569 360327726 661793138 992689707 1985379414 2978069121 3639862259 5956138242 7279724518 9596000501 10919586777 19192001002 21839173554 28788001503 32758760331 57576003006 65517520662 86364004509 105556005511 172728009018 211112011022 316668016533 633336033066 950004049599 1900008099198