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20949889202560 = 275175932636293
BaseRepresentation
bin1001100001101110001101…
…01101000011100110000000
32202011210022210120200000001
410300313012231003212000
510221220333113440220
6112320125104205344
74261402533022363
oct460670655034600
982153283520001
1020949889202560
11674788632414a
12242428b609854
13b8c748888536
14525da13720da
15264e4c16d80a
hex130dc6b43980

20949889202560 has 128 divisors (see below), whose sum is σ = 53928212205600. Its totient is φ = 7753338617856.

The previous prime is 20949889202521. The next prime is 20949889202609. The reversal of 20949889202560 is 6520298894902.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a junction number, because it is equal to n+sod(n) for n = 20949889202492 and 20949889202501.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15676227 + ... + 16960066.

Almost surely, 220949889202560 is an apocalyptic number.

20949889202560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20949889202560 is an abundant number, since it is smaller than the sum of its proper divisors (32978323003040).

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

20949889202560 is a wasteful number, since it uses less digits than its factorization.

20949889202560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32636388 (or 32636376 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 64.

The spelling of 20949889202560 in words is "twenty trillion, nine hundred forty-nine billion, eight hundred eighty-nine million, two hundred two thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 59 64 68 80 85 118 128 136 160 170 236 272 295 320 340 472 544 590 640 680 944 1003 1088 1180 1360 1888 2006 2176 2360 2720 3776 4012 4720 5015 5440 7552 8024 9440 10030 10880 16048 18880 20060 32096 37760 40120 64192 80240 128384 160480 320960 641920 32636293 65272586 130545172 163181465 261090344 326362930 522180688 554816981 652725860 1044361376 1109633962 1305451720 1925541287 2088722752 2219267924 2610903440 2774084905 3851082574 4177445504 4438535848 5221806880 5548169810 7702165148 8877071696 9627706435 10443613760 11096339620 15404330296 17754143392 19255412870 20887227520 22192679240 30808660592 32734201879 35508286784 38510825740 44385358480 61617321184 65468403758 71016573568 77021651480 88770716960 123234642368 130936807516 154043302960 163671009395 177541433920 246469284736 261873615032 308086605920 327342018790 355082867840 523747230064 616173211840 654684037580 1047494460128 1232346423680 1309368075160 2094988920256 2618736150320 4189977840512 5237472300640 10474944601280 20949889202560