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20724802848 = 25325312710691
BaseRepresentation
bin10011010011010010…
…110110010100100000
31222111100101001211200
4103103102312110200
5314421022142343
613304300241200
71332402626511
oct232322662440
958440331750
1020724802848
11887567a142
124024840200
131c538bc569
141008678a08
158146dc4d3
hex4d34b6520

20724802848 has 144 divisors (see below), whose sum is σ = 60526642176. Its totient is φ = 6723924480.

The previous prime is 20724802841. The next prime is 20724802849. The reversal of 20724802848 is 84820842702.

20724802848 is a `hidden beast` number, since 20 + 72 + 480 + 2 + 84 + 8 = 666.

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

It is a super-2 number, since 2×207248028482 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20724802841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1933183 + ... + 1943873.

It is an arithmetic number, because the mean of its divisors is an integer number (420323904).

Almost surely, 220724802848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20724802848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30263321088).

20724802848 is an abundant number, since it is smaller than the sum of its proper divisors (39801839328).

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

20724802848 is a wasteful number, since it uses less digits than its factorization.

20724802848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10887 (or 10876 counting only the distinct ones).

The product of its (nonzero) digits is 458752, while the sum is 45.

The spelling of 20724802848 in words is "twenty billion, seven hundred twenty-four million, eight hundred two thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 72 96 106 127 144 159 212 254 288 318 381 424 477 508 636 762 848 954 1016 1143 1272 1524 1696 1908 2032 2286 2544 3048 3816 4064 4572 5088 6096 6731 7632 9144 10691 12192 13462 15264 18288 20193 21382 26924 32073 36576 40386 42764 53848 60579 64146 80772 85528 96219 107696 121158 128292 161544 171056 192438 215392 242316 256584 323088 342112 384876 484632 513168 566623 646176 769752 969264 1026336 1133246 1357757 1539504 1699869 1938528 2266492 2715514 3079008 3399738 4073271 4532984 5099607 5431028 6799476 8146542 9065968 10199214 10862056 12219813 13598952 16293084 18131936 20398428 21724112 24439626 27197904 32586168 40796856 43448224 48879252 54395808 65172336 71961121 81593712 97758504 130344672 143922242 163187424 195517008 215883363 287844484 391034016 431766726 575688968 647650089 863533452 1151377936 1295300178 1727066904 2302755872 2590600356 3454133808 5181200712 6908267616 10362401424 20724802848