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20996244324 = 223211233174363
BaseRepresentation
bin10011100011011110…
…010100001101100100
32000012021010201112200
4103203132110031210
5321000014304244
613351234214500
71342210063206
oct234336241544
960167121480
1020996244324
1189a4918140
12409b724430
131c97bcb513
141032736776
1582d459669
hex4e3794364

20996244324 has 144 divisors (see below), whose sum is σ = 62365814784. Its totient is φ = 5889470400.

The previous prime is 20996244323. The next prime is 20996244343. The reversal of 20996244324 is 42344269902.

20996244324 is a `hidden beast` number, since 209 + 9 + 6 + 2 + 4 + 432 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 20996244324.

It is not an unprimeable number, because it can be changed into a prime (20996244323) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 245167 + ... + 319529.

It is an arithmetic number, because the mean of its divisors is an integer number (433095936).

Almost surely, 220996244324 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 20996244324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31182907392).

20996244324 is an abundant number, since it is smaller than the sum of its proper divisors (41369570460).

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

20996244324 is a wasteful number, since it uses less digits than its factorization.

20996244324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74438 (or 74433 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 20996244324 in words is "twenty billion, nine hundred ninety-six million, two hundred forty-four thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 31 33 36 44 46 62 66 69 92 93 99 124 132 138 186 198 207 253 276 279 341 372 396 414 506 558 682 713 759 828 1012 1023 1116 1364 1426 1518 2046 2139 2277 2852 3036 3069 4092 4278 4554 6138 6417 7843 8556 9108 12276 12834 15686 23529 25668 31372 47058 70587 74363 94116 141174 148726 223089 282348 297452 446178 669267 817993 892356 1338534 1635986 1710349 2305253 2453979 2677068 3271972 3420698 4610506 4907958 5131047 6841396 6915759 7361937 9221012 9815916 10262094 13831518 14723874 15393141 18813839 20524188 20747277 25357783 27663036 29447748 30786282 37627678 41494554 50715566 53020819 56441517 61572564 75255356 76073349 82989108 101431132 106041638 112883034 152146698 159062457 169324551 212083276 225766068 228220047 304293396 318124914 338649102 456440094 477187371 583229009 636249828 677298204 912880188 954374742 1166458018 1749687027 1908749484 2332916036 3499374054 5249061081 6998748108 10498122162 20996244324