Search a number
-
+
265641206034064 = 24721985621208279
BaseRepresentation
bin111100011001100101101001…
…101110010010111010010000
31021211120001101101102011122211
4330121211221232102322100
5234304231142221042224
62340545515123041504
7106644641502503500
oct7431455156227220
91254501341364584
10265641206034064
1177706891610813
1225963066510294
13b52bb207391b3
1449851627b5a00
1520a9e0d9e6894
hexf19969b92e90

265641206034064 has 120 divisors (see below), whose sum is σ = 630230594654400. Its totient is φ = 107852546753280.

The previous prime is 265641206034013. The next prime is 265641206034067. The reversal of 265641206034064 is 460430602146562.

265641206034064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a junction number, because it is equal to n+sod(n) for n = 265641206033999 and 265641206034017.

It is not an unprimeable number, because it can be changed into a prime (265641206034067) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1275306277 + ... + 1275514555.

It is an arithmetic number, because the mean of its divisors is an integer number (5251921622120).

Almost surely, 2265641206034064 is an apocalyptic number.

It is an amenable number.

265641206034064 is an abundant number, since it is smaller than the sum of its proper divisors (364589388620336).

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

265641206034064 is a wasteful number, since it uses less digits than its factorization.

265641206034064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293941 (or 293928 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 49.

The spelling of 265641206034064 in words is "two hundred sixty-five trillion, six hundred forty-one billion, two hundred six million, thirty-four thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 19 28 38 49 56 76 98 112 133 152 196 266 304 392 532 784 931 1064 1862 2128 3724 7448 14896 85621 171242 208279 342484 416558 599347 684968 833116 1198694 1369936 1457953 1626799 1666232 2397388 2915906 3253598 3332464 3957301 4195429 4794776 5831812 6507196 7914602 8390858 9589552 10205671 11387593 11663624 13014392 15829204 16781716 20411342 22775186 23327248 26028784 27701107 31658408 33563432 40822684 45550372 55402214 63316816 67126864 79713151 81645368 91100744 110804428 159426302 163290736 182201488 193907749 221608856 318852604 387815498 443217712 637705208 775630996 1275410416 1551261992 3102523984 17833056259 35666112518 71332225036 124831393813 142664450072 249662787626 285328900144 338828068921 499325575252 677656137842 873819756691 998651150504 1355312275684 1747639513382 1997302301008 2371796482447 2710624551368 3495279026764 4743592964894 5421249102736 6990558053528 9487185929788 13981116107056 16602575377129 18974371859576 33205150754258 37948743719152 66410301508516 132820603017032 265641206034064