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2000208316548 = 22313211287921107
BaseRepresentation
bin11101000110110101101…
…101001100100010000100
321002012212221211102112210
4131012311231030202010
5230232411312112143
64130514421543420
7264340012110651
oct35066555144204
97065787742483
102000208316548
117013134a4122
122837a1874b70
13116807770bc0
146cb4c3d8c28
153706b42b033
hex1d1b5b4c884

2000208316548 has 96 divisors (see below), whose sum is σ = 5051978588160. Its totient is φ = 612290125440.

The previous prime is 2000208316453. The next prime is 2000208316619. The reversal of 2000208316548 is 8456138020002.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 31 ways as a sum of consecutive naturals, for example, 94754611 + ... + 94775717.

It is an arithmetic number, because the mean of its divisors is an integer number (52624776960).

Almost surely, 22000208316548 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2000208316548, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2525989294080).

2000208316548 is an abundant number, since it is smaller than the sum of its proper divisors (3051770271612).

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

2000208316548 is a wasteful number, since it uses less digits than its factorization.

2000208316548 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24217 (or 24215 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The spelling of 2000208316548 in words is "two trillion, two hundred eight million, three hundred sixteen thousand, five hundred forty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 211 422 633 844 1266 2532 2743 2879 5486 5758 8229 8637 10972 11516 16458 17274 21107 32916 34548 37427 42214 63321 74854 84428 112281 126642 149708 224562 253284 274391 449124 548782 607469 823173 1097564 1214938 1646346 1822407 2429876 3292692 3644814 4453577 7289628 7897097 8907154 13360731 15794194 17814308 23691291 26721462 31588388 47382582 53442924 57896501 60767053 94765164 115793002 121534106 173689503 182301159 231586004 243068212 347379006 364602318 694758012 729204636 789971689 1579943378 2369915067 3159886756 4739830134 9479660268 12821848183 25643696366 38465544549 51287392732 76931089098 153862178196 166684026379 333368052758 500052079137 666736105516 1000104158274 2000208316548