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52006624592 = 24131926591051
BaseRepresentation
bin110000011011110101…
…100001110101010000
311222020102122021002012
4300123311201311100
51323002143441332
635520322242052
73520526005136
oct603365416520
9158212567065
1052006624592
112006842488a
12a0b4ab6328
134b9a6c6460
142735031756
151545b153b2
hexc1bd61d50

52006624592 has 120 divisors (see below), whose sum is σ = 114808589280. Its totient is φ = 22683628800.

The previous prime is 52006624589. The next prime is 52006624603. The reversal of 52006624592 is 29542660025.

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 23 ways as a sum of consecutive naturals, for example, 49482467 + ... + 49483517.

It is an arithmetic number, because the mean of its divisors is an integer number (956738244).

Almost surely, 252006624592 is an apocalyptic number.

52006624592 is a gapful number since it is divisible by the number (52) 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 52006624592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57404294640).

52006624592 is an abundant number, since it is smaller than the sum of its proper divisors (62801964688).

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

52006624592 is a wasteful number, since it uses less digits than its factorization.

52006624592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1769 (or 1744 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 41.

The spelling of 52006624592 in words is "fifty-two billion, six million, six hundred twenty-four thousand, five hundred ninety-two".

Divisors: 1 2 4 8 13 16 19 26 38 52 76 104 152 208 247 304 361 494 659 722 988 1051 1318 1444 1976 2102 2636 2888 3952 4204 4693 5272 5776 8408 8567 9386 10544 12521 13663 16816 17134 18772 19969 25042 27326 34268 37544 39938 50084 54652 68536 75088 79876 100168 109304 137072 159752 162773 200336 218608 237899 259597 319504 325546 379411 475798 519194 651092 692609 758822 951596 1038388 1302184 1385218 1517644 1903192 2076776 2604368 2770436 3035288 3092687 3806384 4153552 4932343 5540872 6070576 6185374 9003917 9864686 11081744 12370748 13159571 18007834 19729372 24741496 26319142 36015668 39458744 49482992 52638284 72031336 78917488 105276568 144062672 171074423 210553136 250031849 342148846 500063698 684297692 1000127396 1368595384 2000254792 2737190768 3250414037 4000509584 6500828074 13001656148 26003312296 52006624592