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20853562464 = 2532715796551
BaseRepresentation
bin10011011010111110…
…000001110001100000
31222211022122201211100
4103122332001301200
5320202002444324
613325140114400
71335525233130
oct233276016140
958738581740
1020853562464
118931324149
12405b995a00
131c74492597
14101b7d4ac0
15820b734c9
hex4daf81c60

20853562464 has 144 divisors (see below), whose sum is σ = 67827352320. Its totient is φ = 5953478400.

The previous prime is 20853562441. The next prime is 20853562481. The reversal of 20853562464 is 46426535802.

20853562464 is a `hidden beast` number, since 2 + 0 + 85 + 3 + 562 + 4 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3179989 + ... + 3186539.

It is an arithmetic number, because the mean of its divisors is an integer number (471023280).

Almost surely, 220853562464 is an apocalyptic number.

20853562464 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 20853562464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33913676160).

20853562464 is an abundant number, since it is smaller than the sum of its proper divisors (46973789856).

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

20853562464 is a wasteful number, since it uses less digits than its factorization.

20853562464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8153 (or 8142 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 20853562464 in words is "twenty billion, eight hundred fifty-three million, five hundred sixty-two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 1579 2016 3158 4737 6316 6551 9474 11053 12632 13102 14211 18948 19653 22106 25264 26204 28422 33159 37896 39306 44212 45857 50528 52408 56844 58959 66318 75792 78612 88424 91714 99477 104816 113688 117918 132636 137571 151584 157224 176848 183428 198954 209632 227376 235836 265272 275142 314448 353696 366856 397908 412713 454752 471672 530544 550284 628896 733712 795816 825426 943344 1061088 1100568 1467424 1591632 1650852 1886688 2201136 3183264 3301704 4402272 6603408 10344029 13206816 20688058 31032087 41376116 62064174 72408203 82752232 93096261 124128348 144816406 165504464 186192522 217224609 248256696 289632812 331008928 372385044 434449218 496513392 579265624 651673827 744770088 868898436 993026784 1158531248 1303347654 1489540176 1737796872 2317062496 2606695308 2979080352 3475593744 5213390616 6951187488 10426781232 20853562464