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1982246984190 = 2345111271751767
BaseRepresentation
bin11100110110000111001…
…000001001100111111110
321000111112012102012120000
4130312013020021213332
5224434120211443230
64114344240135130
7263132633234334
oct34660710114776
97014465365500
101982246984190
116a47368222a0
1228020a6074a6
13114c0455b8a5
146bd26b95b54
153686965eb60
hex1cd872099fe

1982246984190 has 160 divisors (see below), whose sum is σ = 5860378681344. Its totient is φ = 476760634560.

The previous prime is 1982246984189. The next prime is 1982246984227. The reversal of 1982246984190 is 914896422891.

1982246984190 is a `hidden beast` number, since 1 + 9 + 8 + 2 + 2 + 469 + 84 + 1 + 90 = 666.

It is a super-2 number, since 2×19822469841902 (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 255687 + ... + 2007453.

Almost surely, 21982246984190 is an apocalyptic number.

1982246984190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1982246984190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2930189340672).

1982246984190 is an abundant number, since it is smaller than the sum of its proper divisors (3878131697154).

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

1982246984190 is a wasteful number, since it uses less digits than its factorization.

1982246984190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1751924 (or 1751915 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 63.

The spelling of 1982246984190 in words is "one trillion, nine hundred eighty-two billion, two hundred forty-six million, nine hundred eighty-four thousand, one hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 81 90 99 110 127 135 162 165 198 254 270 297 330 381 405 495 594 635 762 810 891 990 1143 1270 1397 1485 1782 1905 2286 2794 2970 3429 3810 4191 4455 5715 6858 6985 8382 8910 10287 11430 12573 13970 17145 20574 20955 25146 34290 37719 41910 51435 62865 75438 102870 113157 125730 188595 226314 377190 565785 1131570 1751767 3503534 5255301 8758835 10510602 15765903 17517670 19269437 26276505 31531806 38538874 47297709 52553010 57808311 78829515 94595418 96347185 115616622 141893127 157659030 173424933 192694370 222474409 236488545 283786254 289041555 346849866 444948818 472977090 520274799 578083110 667423227 709465635 867124665 1040549598 1112372045 1334846454 1418931270 1560824397 1734249330 2002269681 2224744090 2447218499 2601373995 3121648794 3337116135 4004539362 4894436998 5202747990 6006809043 6674232270 7341655497 7804121985 10011348405 12013618086 12236092495 14683310994 15608243970 18020427129 20022696810 22024966491 24472184990 30034045215 36040854258 36708277485 44049932982 60068090430 66074899473 73416554970 90102135645 110124832455 132149798946 180204271290 198224698419 220249664910 330374497365 396449396838 660748994730 991123492095 1982246984190