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52641307616 = 2529611994673
BaseRepresentation
bin110001000001101010…
…101001101111100000
312000212122220111111212
4301001222221233200
51330302133320431
640103313525252
73542333506022
oct610152515740
9160778814455
1052641307616
1120363711607
12a251573828
134c6c046741
142795446012
1515816d472b
hexc41aa9be0

52641307616 has 96 divisors (see below), whose sum is σ = 109539864000. Its totient is φ = 24865505280.

The previous prime is 52641307597. The next prime is 52641307673. The reversal of 52641307616 is 61670314625.

It is a super-2 number, since 2×526413076162 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11262656 + ... + 11267328.

It is an arithmetic number, because the mean of its divisors is an integer number (1141040250).

Almost surely, 252641307616 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 52641307616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54769932000).

52641307616 is an abundant number, since it is smaller than the sum of its proper divisors (56898556384).

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

52641307616 is a wasteful number, since it uses less digits than its factorization.

52641307616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4972 (or 4964 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 41.

The spelling of 52641307616 in words is "fifty-two billion, six hundred forty-one million, three hundred seven thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 29 32 58 61 116 122 199 232 244 398 464 488 796 928 976 1592 1769 1952 3184 3538 4673 5771 6368 7076 9346 11542 12139 14152 18692 23084 24278 28304 37384 46168 48556 56608 74768 92336 97112 135517 149536 184672 194224 271034 285053 352031 388448 542068 570106 704062 929927 1084136 1140212 1408124 1859854 2168272 2280424 2816248 3719708 4336544 4560848 5632496 7439416 8266537 9121696 11264992 14878832 16533074 26967883 29757664 33066148 53935766 56725547 66132296 107871532 113451094 132264592 215743064 226902188 264529184 431486128 453804376 862972256 907608752 1645040863 1815217504 3290081726 6580163452 13160326904 26320653808 52641307616