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20993272560 = 24325132242871
BaseRepresentation
bin10011100011010010…
…111110101011110000
32000012001112202001100
4103203102332223300
5320443234210220
613351050404400
71342142605161
oct234322765360
960161482040
1020993272560
1189a3178437
12409a730700
131c973ca990
1410321a1768
1582d06dd90
hex4e34beaf0

20993272560 has 120 divisors (see below), whose sum is σ = 75925702944. Its totient is φ = 5167572480.

The previous prime is 20993272543. The next prime is 20993272583. The reversal of 20993272560 is 6527239902.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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

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 23 ways as a sum of consecutive naturals, for example, 1112076 + ... + 1130795.

Almost surely, 220993272560 is an apocalyptic number.

20993272560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20993272560 is an abundant number, since it is smaller than the sum of its proper divisors (54932430384).

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

20993272560 is a wasteful number, since it uses less digits than its factorization.

20993272560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2242903 (or 2242894 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 20993272560 in words is "twenty billion, nine hundred ninety-three million, two hundred seventy-two thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 36 39 40 45 48 52 60 65 72 78 80 90 104 117 120 130 144 156 180 195 208 234 240 260 312 360 390 468 520 585 624 720 780 936 1040 1170 1560 1872 2340 3120 4680 9360 2242871 4485742 6728613 8971484 11214355 13457226 17942968 20185839 22428710 26914452 29157323 33643065 35885936 40371678 44857420 53828904 58314646 67286130 80743356 87471969 89714840 100929195 107657808 116629292 134572260 145786615 161486712 174943938 179429680 201858390 233258584 262415907 269144520 291573230 322973424 349887876 403716780 437359845 466517168 524831814 538289040 583146460 699775752 807433560 874719690 1049663628 1166292920 1312079535 1399551504 1614867120 1749439380 2099327256 2332585840 2624159070 3498878760 4198654512 5248318140 6997757520 10496636280 20993272560