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52073448100 = 22524118236967
BaseRepresentation
bin110000011111110100…
…011100001010100100
311222102002101020200221
4300133310130022210
51323121300314400
635531110414124
73522300001642
oct603764341244
9158362336627
1052073448100
11200a2116323
12a113361344
134bab4c21ab
14273dc68192
15154b914c1a
hexc1fd1c2a4

52073448100 has 72 divisors (see below), whose sum is σ = 115835586048. Its totient is φ = 20307283200.

The previous prime is 52073448061. The next prime is 52073448101. The reversal of 52073448100 is 184437025.

It is a super-2 number, since 2×520734481002 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (52073448101) 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 23 ways as a sum of consecutive naturals, for example, 7470817 + ... + 7477783.

It is an arithmetic number, because the mean of its divisors is an integer number (1608827584).

Almost surely, 252073448100 is an apocalyptic number.

52073448100 is a gapful number since it is divisible by the number (50) 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 52073448100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57917793024).

52073448100 is an abundant number, since it is smaller than the sum of its proper divisors (63762137948).

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

52073448100 is a wasteful number, since it uses less digits than its factorization.

52073448100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8845 (or 8838 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The spelling of 52073448100 in words is "fifty-two billion, seventy-three million, four hundred forty-eight thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 410 820 1025 1823 2050 3646 4100 6967 7292 9115 13934 18230 27868 34835 36460 45575 69670 74743 91150 139340 149486 174175 182300 285647 298972 348350 373715 571294 696700 747430 1142588 1428235 1494860 1868575 2856470 3737150 5712940 7141175 7474300 12700841 14282350 25401682 28564700 50803364 63504205 127008410 254016820 317521025 520734481 635042050 1041468962 1270084100 2082937924 2603672405 5207344810 10414689620 13018362025 26036724050 52073448100