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20284181984 = 251171811627
BaseRepresentation
bin10010111001000010…
…000000110111100000
31221100122021012122102
4102321002000313200
5313020222310414
613152440225532
71315442462543
oct227102006740
957318235572
1020284181984
11866998a170
123b2116b2a8
131bb3527961
14da5d3c85a
157daba2ede
hex4b9080de0

20284181984 has 48 divisors (see below), whose sum is σ = 44178535296. Its totient is φ = 9090211200.

The previous prime is 20284181977. The next prime is 20284182031. The reversal of 20284181984 is 48918148202.

It is a super-2 number, since 2×202841819842 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 380822 + ... + 430805.

It is an arithmetic number, because the mean of its divisors is an integer number (920386152).

Almost surely, 220284181984 is an apocalyptic number.

It is an amenable number.

20284181984 is an abundant number, since it is smaller than the sum of its proper divisors (23894353312).

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

20284181984 is a wasteful number, since it uses less digits than its factorization.

20284181984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811719 (or 811711 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 47.

The spelling of 20284181984 in words is "twenty billion, two hundred eighty-four million, one hundred eighty-one thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 32 44 71 88 142 176 284 352 568 781 1136 1562 2272 3124 6248 12496 24992 811627 1623254 3246508 6493016 8927897 12986032 17855794 25972064 35711588 57625517 71423176 115251034 142846352 230502068 285692704 461004136 633880687 922008272 1267761374 1844016544 2535522748 5071045496 10142090992 20284181984