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2117206473920 = 26519383909203
BaseRepresentation
bin11110110011110011010…
…101101111110011000000
321111101212202111122002122
4132303303111233303000
5234142014324131140
64300344202303412
7305651231044406
oct36636325576300
97441782448078
102117206473920
117469a194a46a
122a23b41b7b68
13124861a7a115
147468abb9476
153a117ac6ab5
hex1ecf356fcc0

2117206473920 has 112 divisors (see below), whose sum is σ = 5320807280640. Its totient is φ = 800214137856.

The previous prime is 2117206473887. The next prime is 2117206473923. The reversal of 2117206473920 is 293746027112.

It is not an unprimeable number, because it can be changed into a prime (2117206473923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1874039 + ... + 2783241.

Almost surely, 22117206473920 is an apocalyptic number.

2117206473920 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 2117206473920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2660403640320).

2117206473920 is an abundant number, since it is smaller than the sum of its proper divisors (3203600806720).

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

2117206473920 is a wasteful number, since it uses less digits than its factorization.

2117206473920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909622 (or 909612 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 44.

The spelling of 2117206473920 in words is "two trillion, one hundred seventeen billion, two hundred six million, four hundred seventy-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 152 160 190 304 320 380 383 608 760 766 1216 1520 1532 1915 3040 3064 3830 6080 6128 7277 7660 12256 14554 15320 24512 29108 30640 36385 58216 61280 72770 116432 122560 145540 232864 291080 465728 582160 909203 1164320 1818406 2328640 3636812 4546015 7273624 9092030 14547248 17274857 18184060 29094496 34549714 36368120 58188992 69099428 72736240 86374285 138198856 145472480 172748570 276397712 290944960 345497140 348224749 552795424 690994280 696449498 1105590848 1381988560 1392898996 1741123745 2763977120 2785797992 3482247490 5527954240 5571595984 6616270231 6964494980 11143191968 13232540462 13928989960 22286383936 26465080924 27857979920 33081351155 52930161848 55715959840 66162702310 105860323696 111431919680 132325404620 211720647392 264650809240 423441294784 529301618480 1058603236960 2117206473920