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2189729353140 = 2232572389727451
BaseRepresentation
bin11111110111010110000…
…010100100110110110100
321202100002000002121122100
4133313112002210312310
5241334031203300030
64353540415302100
7314126351253150
oct37672602446664
97670060077570
102189729353140
11774728151a8a
122b4473b1a930
1312b64baa49c4
1477daa8ba060
153be5e932360
hex1fdd60a4db4

2189729353140 has 144 divisors (see below), whose sum is σ = 7594249703040. Its totient is φ = 500299372800.

The previous prime is 2189729353121. The next prime is 2189729353181. The reversal of 2189729353140 is 413539279812.

2189729353140 is a `hidden beast` number, since 2 + 1 + 89 + 7 + 29 + 3 + 531 + 4 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2646415 + ... + 3373865.

It is an arithmetic number, because the mean of its divisors is an integer number (52737845160).

Almost surely, 22189729353140 is an apocalyptic number.

2189729353140 is a gapful number since it is divisible by the number (20) 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 2189729353140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3797124851520).

2189729353140 is an abundant number, since it is smaller than the sum of its proper divisors (5404520349900).

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

2189729353140 is a wasteful number, since it uses less digits than its factorization.

2189729353140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729862 (or 729857 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 2189729353140 in words is "two trillion, one hundred eighty-nine billion, seven hundred twenty-nine million, three hundred fifty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 2389 4778 7167 9556 11945 14334 16723 21501 23890 28668 33446 35835 43002 47780 50169 66892 71670 83615 86004 100338 107505 143340 150507 167230 200676 215010 250845 301014 334460 430020 501690 602028 727451 752535 1003380 1454902 1505070 2182353 2909804 3010140 3637255 4364706 5092157 6547059 7274510 8729412 10184314 10911765 13094118 14549020 15276471 20368628 21823530 25460785 26188236 30552942 32735295 43647060 45829413 50921570 61105884 65470590 76382355 91658826 101843140 130941180 152764710 183317652 229147065 305529420 458294130 916588260 1737880439 3475760878 5213641317 6951521756 8689402195 10427282634 12165163073 15640923951 17378804390 20854565268 24330326146 26068206585 31281847902 34757608780 36495489219 48660652292 52136413170 60825815365 62563695804 72990978438 78204619755 104272826340 109486467657 121651630730 145981956876 156409239510 182477446095 218972935314 243303261460 312818479020 364954892190 437945870628 547432338285 729909784380 1094864676570 2189729353140