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2189743701984 = 25344391924393
BaseRepresentation
bin11111110111010110111…
…001010011111111100000
321202100010000002121120000
4133313112321103333200
5241334043341430414
64353542051020000
7314126614234416
oct37672671237740
97670100077500
102189743701984
11774735262533
122b447889a600
1312b651a59b47
1477dac7732b6
153be60d18b09
hex1fdd6e53fe0

2189743701984 has 120 divisors (see below), whose sum is σ = 6454648403280. Its totient is φ = 728251513344.

The previous prime is 2189743701983. The next prime is 2189743701989. The reversal of 2189743701984 is 4891073479812.

2189743701984 is a `hidden beast` number, since 2 + 1 + 8 + 9 + 7 + 437 + 0 + 198 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2189743701983) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 175692 + ... + 2100084.

It is an arithmetic number, because the mean of its divisors is an integer number (53788736694).

Almost surely, 22189743701984 is an apocalyptic number.

2189743701984 is a gapful number since it is divisible by the number (24) 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 2189743701984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3227324201640).

2189743701984 is an abundant number, since it is smaller than the sum of its proper divisors (4264904701296).

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

2189743701984 is a wasteful number, since it uses less digits than its factorization.

2189743701984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1924854 (or 1924837 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 2189743701984 in words is "two trillion, one hundred eighty-nine billion, seven hundred forty-three million, seven hundred one thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 439 648 864 878 1296 1317 1756 2592 2634 3512 3951 5268 7024 7902 10536 11853 14048 15804 21072 23706 31608 35559 42144 47412 63216 71118 94824 126432 142236 189648 284472 379296 568944 1137888 1924393 3848786 5773179 7697572 11546358 15395144 17319537 23092716 30790288 34639074 46185432 51958611 61580576 69278148 92370864 103917222 138556296 155875833 184741728 207834444 277112592 311751666 415668888 554225184 623503332 831337776 844808527 1247006664 1662675552 1689617054 2494013328 2534425581 3379234108 4988026656 5068851162 6758468216 7603276743 10137702324 13516936432 15206553486 20275404648 22809830229 27033872864 30413106972 40550809296 45619660458 60826213944 68429490687 81101618592 91239320916 121652427888 136858981374 182478641832 243304855776 273717962748 364957283664 547435925496 729914567328 1094871850992 2189743701984