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190800990180 = 2235547938191
BaseRepresentation
bin1011000110110010100…
…0000000111111100100
3200020111020201120100000
42301230220000333210
511111230023141210
6223352555221300
716533140441253
oct2615450007744
9606436646300
10190800990180
1173a11203a49
1230b8aa47830
1314cb95704b8
1493404a479a
154e6aa86ac0
hex2c6ca00fe4

190800990180 has 144 divisors (see below), whose sum is σ = 600397185024. Its totient is φ = 50863438080.

The previous prime is 190800990161. The next prime is 190800990209. The reversal of 190800990180 is 81099008091.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23289885 + ... + 23298075.

It is an arithmetic number, because the mean of its divisors is an integer number (4169424896).

Almost surely, 2190800990180 is an apocalyptic number.

190800990180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 190800990180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300198592512).

190800990180 is an abundant number, since it is smaller than the sum of its proper divisors (409596194844).

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

190800990180 is a wasteful number, since it uses less digits than its factorization.

190800990180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13008 (or 12994 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 45.

The spelling of 190800990180 in words is "one hundred ninety billion, eight hundred million, nine hundred ninety thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 810 972 1215 1620 2430 4793 4860 8191 9586 14379 16382 19172 23965 24573 28758 32764 40955 43137 47930 49146 57516 71895 73719 81910 86274 95860 98292 122865 129411 143790 147438 163820 172548 215685 221157 245730 258822 287580 294876 368595 388233 431370 442314 491460 517644 647055 663471 737190 776466 862740 884628 1105785 1164699 1294110 1326942 1474380 1552932 1941165 1990413 2211570 2329398 2588220 2653884 3317355 3882330 3980826 4423140 4658796 5823495 6634710 7764660 7961652 9952065 11646990 13269420 19904130 23293980 39259463 39808260 78518926 117778389 157037852 196297315 235556778 353335167 392594630 471113556 588891945 706670334 785189260 1060005501 1177783890 1413340668 1766675835 2120011002 2355567780 3180016503 3533351670 4240022004 5300027505 6360033006 7066703340 9540049509 10600055010 12720066012 15900082515 19080099018 21200110020 31800165030 38160198036 47700247545 63600330060 95400495090 190800990180