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20613216224 = 2537532631249
BaseRepresentation
bin10011001100101001…
…001011011111100000
31222012120101212202202
4103030221023133200
5314203440404344
613245232432332
71326546306206
oct231451133740
958176355682
1020613216224
118818694497
123bb33a86a8
131c3674cc83
14dd790d076
158099e994e
hex4cca4b7e0

20613216224 has 96 divisors (see below), whose sum is σ = 42661080000. Its totient is φ = 9793585152.

The previous prime is 20613216191. The next prime is 20613216233. The reversal of 20613216224 is 42261231602.

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, 16503152 + ... + 16504400.

It is an arithmetic number, because the mean of its divisors is an integer number (444386250).

Almost surely, 220613216224 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 20613216224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21330540000).

20613216224 is an abundant number, since it is smaller than the sum of its proper divisors (22047863776).

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

20613216224 is a wasteful number, since it uses less digits than its factorization.

20613216224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1612 (or 1604 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 20613216224 its reverse (42261231602), we get a palindrome (62874447826).

The spelling of 20613216224 in words is "twenty billion, six hundred thirteen million, two hundred sixteen thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 37 53 74 106 148 212 263 296 424 526 592 848 1052 1184 1249 1696 1961 2104 2498 3922 4208 4996 7844 8416 9731 9992 13939 15688 19462 19984 27878 31376 38924 39968 46213 55756 62752 66197 77848 92426 111512 132394 155696 184852 223024 264788 311392 328487 369704 446048 515743 529576 656974 739408 1031486 1059152 1313948 1478816 2062972 2118304 2449289 2627896 4125944 4898578 5255792 8251888 9797156 10511584 12154019 16503776 17409811 19594312 24308038 34819622 39188624 48616076 69639244 78377248 97232152 139278488 194464304 278556976 388928608 557113952 644163007 1288326014 2576652028 5153304056 10306608112 20613216224