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52552808064 = 2732267717041
BaseRepresentation
bin110000111100011001…
…000011011010000000
312000122111101020221200
4300330121003122000
51330112004324224
640050433021200
73540210332601
oct607431033200
9160574336850
1052552808064
1120318765589
12a2279b4800
134c568cb743
1427877a9da8
151578a525c9
hexc3c643680

52552808064 has 96 divisors (see below), whose sum is σ = 151291547940. Its totient is φ = 17510031360.

The previous prime is 52552808039. The next prime is 52552808083. The reversal of 52552808064 is 46080825525.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 52170214464 + 382593600 = 228408^2 + 19560^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3075384 + ... + 3092424.

Almost surely, 252552808064 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 52552808064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75645773970).

52552808064 is an abundant number, since it is smaller than the sum of its proper divisors (98738739876).

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

52552808064 is a wasteful number, since it uses less digits than its factorization.

52552808064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19738 (or 19723 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 45.

The spelling of 52552808064 in words is "fifty-two billion, five hundred fifty-two million, eight hundred eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 2677 5354 8031 10708 16062 17041 21416 24093 32124 34082 42832 48186 51123 64248 68164 85664 96372 102246 128496 136328 153369 171328 192744 204492 256992 272656 306738 342656 385488 408984 513984 545312 613476 770976 817968 1027968 1090624 1226952 1541952 1635936 2181248 2453904 3083904 3271872 4907808 6543744 9815616 19631232 45618757 91237514 136856271 182475028 273712542 364950056 410568813 547425084 729900112 821137626 1094850168 1459800224 1642275252 2189700336 2919600448 3284550504 4379400672 5839200896 6569101008 8758801344 13138202016 17517602688 26276404032 52552808064