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20984655384 = 23327112615641
BaseRepresentation
bin10011100010110010…
…000110111000011000
32000011110022221111200
4103202302012320120
5320434032433014
613350141554200
71342006425210
oct234262067030
960143287450
1020984655384
118999322200
124097875960
131c956a1664
141030d9b240
1582c41aa09
hex4e2c86e18

20984655384 has 288 divisors, whose sum is σ = 72577333920. Its totient is φ = 5360256000.

The previous prime is 20984655353. The next prime is 20984655437. The reversal of 20984655384 is 48355648902.

20984655384 is a `hidden beast` number, since 2 + 0 + 9 + 8 + 4 + 6 + 553 + 84 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 20984655384.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3717204 + ... + 3722844.

Almost surely, 220984655384 is an apocalyptic number.

20984655384 is a gapful number since it is divisible by the number (24) 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 20984655384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36288666960).

20984655384 is an abundant number, since it is smaller than the sum of its proper divisors (51592678536).

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

20984655384 is a wasteful number, since it uses less digits than its factorization.

20984655384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5743 (or 5725 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 20984655384 in words is "twenty billion, nine hundred eighty-four million, six hundred fifty-five thousand, three hundred eighty-four".