Search a number
-
+
52125625104 = 24372772831979
BaseRepresentation
bin110000100010111011…
…011110101100010000
311222112201120010002120
4300202323132230100
51323223130000404
635540213014240
73523502334330
oct604273365420
9158481503076
1052125625104
1120119613713
12a128924380
134bb9260467
142746b6b0c0
1515512be9d9
hexc22edeb10

52125625104 has 160 divisors (see below), whose sum is σ = 155074360320. Its totient is φ = 14779362816.

The previous prime is 52125625103. The next prime is 52125625129. The reversal of 52125625104 is 40152652125.

It is not an unprimeable number, because it can be changed into a prime (52125625103) 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 31 ways as a sum of consecutive naturals, for example, 26338387 + ... + 26340365.

It is an arithmetic number, because the mean of its divisors is an integer number (969214752).

Almost surely, 252125625104 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 52125625104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77537180160).

52125625104 is an abundant number, since it is smaller than the sum of its proper divisors (102948735216).

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

52125625104 is a wasteful number, since it uses less digits than its factorization.

52125625104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2557 (or 2551 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 33.

The spelling of 52125625104 in words is "fifty-two billion, one hundred twenty-five million, six hundred twenty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 277 283 336 554 566 831 849 1108 1132 1662 1698 1939 1979 1981 2216 2264 3324 3396 3878 3958 3962 4432 4528 5817 5937 5943 6648 6792 7756 7916 7924 11634 11874 11886 13296 13584 13853 15512 15832 15848 23268 23748 23772 27706 31024 31664 31696 41559 46536 47496 47544 55412 78391 83118 93072 94992 95088 110824 156782 166236 221648 235173 313564 332472 470346 548183 548737 560057 627128 664944 940692 1096366 1097474 1120114 1254256 1644549 1646211 1680171 1881384 2192732 2194948 2240228 3289098 3292422 3360342 3762768 3837281 3920399 4385464 4389896 4480456 6578196 6584844 6720684 7674562 7840798 8770928 8779792 8960912 11511843 11761197 13156392 13169688 13441368 15349124 15681596 23023686 23522394 26312784 26339376 26882736 30698248 31363192 46047372 47044788 61396496 62726384 92094744 94089576 155135789 184189488 188179152 310271578 465407367 620543156 930814734 1085950523 1241086312 1861629468 2171901046 2482172624 3257851569 3723258936 4343802092 6515703138 7446517872 8687604184 13031406276 17375208368 26062812552 52125625104