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20884245984 = 253373453083
BaseRepresentation
bin10011011100110011…
…000100110111100000
31222220110101121201000
4103130303010313200
5320232331332414
613332153512000
71336350106350
oct233463046740
958813347630
1020884245984
118947681128
12406a112600
131c7a946704
141021900b60
158236d4b09
hex4dccc4de0

20884245984 has 96 divisors (see below), whose sum is σ = 69614173440. Its totient is φ = 5966925696.

The previous prime is 20884245947. The next prime is 20884246001. The reversal of 20884245984 is 48954248802.

20884245984 is a `hidden beast` number, since 2 + 0 + 8 + 8 + 42 + 4 + 598 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 20884245984.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1720494 + ... + 1732589.

It is an arithmetic number, because the mean of its divisors is an integer number (725147640).

Almost surely, 220884245984 is an apocalyptic number.

20884245984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20884245984 is an abundant number, since it is smaller than the sum of its proper divisors (48729927456).

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

20884245984 is a wasteful number, since it uses less digits than its factorization.

20884245984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3453109 (or 3453095 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 20884245984 in words is "twenty billion, eight hundred eighty-four million, two hundred forty-five thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 864 1008 1512 2016 3024 6048 3453083 6906166 10359249 13812332 20718498 24171581 27624664 31077747 41436996 48343162 55249328 62155494 72514743 82873992 93233241 96686324 110498656 124310988 145029486 165747984 186466482 193372648 217544229 248621976 290058972 331495968 372932964 386745296 435088458 497243952 580117944 652632687 745865928 773490592 870176916 994487904 1160235888 1305265374 1491731856 1740353832 2320471776 2610530748 2983463712 3480707664 5221061496 6961415328 10442122992 20884245984