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20617872804 = 22325315171563
BaseRepresentation
bin10011001100111010…
…111100010110100100
31222012220011110101200
4103030322330112210
5314211133412204
613245520322500
71326634012224
oct231472742644
958186143350
1020617872804
118820285001
123bb4a73430
131c376c0649
14dd83a2084
1580a119539
hex4ccebc5a4

20617872804 has 72 divisors (see below), whose sum is σ = 53453155392. Its totient is φ = 6698203200.

The previous prime is 20617872797. The next prime is 20617872809. The reversal of 20617872804 is 40827871602.

20617872804 is a `hidden beast` number, since 2 + 0 + 617 + 8 + 7 + 28 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 20617872804.

It is not an unprimeable number, because it can be changed into a prime (20617872809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 252327 + ... + 323889.

It is an arithmetic number, because the mean of its divisors is an integer number (742404936).

Almost surely, 220617872804 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 20617872804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26726577696).

20617872804 is an abundant number, since it is smaller than the sum of its proper divisors (32835282588).

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

20617872804 is a wasteful number, since it uses less digits than its factorization.

20617872804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71777 (or 71772 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 20617872804 in words is "twenty billion, six hundred seventeen million, eight hundred seventy-two thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 151 159 212 302 318 453 477 604 636 906 954 1359 1812 1908 2718 5436 8003 16006 24009 32012 48018 71563 72027 96036 143126 144054 214689 286252 288108 429378 644067 858756 1288134 2576268 3792839 7585678 10806013 11378517 15171356 21612026 22757034 32418039 34135551 43224052 45514068 64836078 68271102 97254117 129672156 136542204 194508234 389016468 572718689 1145437378 1718156067 2290874756 3436312134 5154468201 6872624268 10308936402 20617872804