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20984406760 = 2353491503181
BaseRepresentation
bin10011100010110001…
…001010001011101000
32000011102212022110101
4103202301022023220
5320434002004020
613350132355144
71342004341312
oct234261121350
960142768411
1020984406760
118999172429
124097775ab4
131c95615445
141030d347b2
1582c3bc00a
hex4e2c4a2e8

20984406760 has 32 divisors (see below), whose sum is σ = 47350233000. Its totient is φ = 8369706240.

The previous prime is 20984406727. The next prime is 20984406761. The reversal of 20984406760 is 6760448902.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 14046516324 + 6937890436 = 118518^2 + 83294^2 .

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 20984406760.

It is not an unprimeable number, because it can be changed into a prime (20984406761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 737631 + ... + 765550.

Almost surely, 220984406760 is an apocalyptic number.

20984406760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20984406760 is an abundant number, since it is smaller than the sum of its proper divisors (26365826240).

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

20984406760 is a wasteful number, since it uses less digits than its factorization.

20984406760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1503541 (or 1503537 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 46.

The spelling of 20984406760 in words is "twenty billion, nine hundred eighty-four million, four hundred six thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 349 698 1396 1745 2792 3490 6980 13960 1503181 3006362 6012724 7515905 12025448 15031810 30063620 60127240 524610169 1049220338 2098440676 2623050845 4196881352 5246101690 10492203380 20984406760