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52053335104 = 26194792
BaseRepresentation
bin110000011110100111…
…101101110001000000
311222100200112101212011
4300132213231301000
51323101123210404
635525111342304
73521634022321
oct603647556100
9158320471764
1052053335104
1120091829111
12a108681994
134ba729c504
14273b310448
151549c90604
hexc1e9edc40

52053335104 has 105 divisors (see below), whose sum is σ = 110429431287. Its totient is φ = 24344731008.

The previous prime is 52053335101. The next prime is 52053335129. The reversal of 52053335104 is 40153335025.

The square root of 52053335104 is 228152.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (52053335101) 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 14 ways as a sum of consecutive naturals, for example, 658902937 + ... + 658903015.

Almost surely, 252053335104 is an apocalyptic number.

52053335104 is the 228152-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52053335104

52053335104 is an abundant number, since it is smaller than the sum of its proper divisors (58376096183).

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

52053335104 is an frugal number, since it uses more digits than its factorization.

52053335104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 31.

The spelling of 52053335104 in words is "fifty-two billion, fifty-three million, three hundred thirty-five thousand, one hundred four".

Divisors: 1 2 4 8 16 19 32 38 64 76 79 152 158 304 316 361 608 632 722 1216 1264 1444 1501 2528 2888 3002 5056 5776 6004 6241 6859 11552 12008 12482 13718 23104 24016 24964 27436 28519 48032 49928 54872 57038 96064 99856 109744 114076 118579 130321 199712 219488 228152 237158 260642 399424 438976 456304 474316 521284 541861 912608 948632 1042568 1083722 1825216 1897264 2085136 2167444 2253001 3794528 4170272 4334888 4506002 7589056 8340544 8669776 9012004 10295359 17339552 18024008 20590718 34679104 36048016 41181436 42807019 72096032 82362872 85614038 144192064 164725744 171228076 329451488 342456152 658902976 684912304 813333361 1369824608 1626666722 2739649216 3253333444 6506666888 13013333776 26026667552 52053335104