Search a number
-
+
12964775096 = 23713194192237
BaseRepresentation
bin11000001001100001…
…01100010010111000
31020110112111210222102
430010300230102320
5203022440300341
65542252042532
7636164525060
oct140460542270
936415453872
1012964775096
115553306469
122619a63448
1312b7cba770
148adbda3a0
1550d2e4c9b
hex304c2c4b8

12964775096 has 128 divisors (see below), whose sum is σ = 31582656000. Its totient is φ = 4845215232.

The previous prime is 12964775063. The next prime is 12964775123. The reversal of 12964775096 is 69057746921.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5794490 + ... + 5796726.

It is an arithmetic number, because the mean of its divisors is an integer number (246739500).

Almost surely, 212964775096 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 12964775096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15791328000).

12964775096 is an abundant number, since it is smaller than the sum of its proper divisors (18617880904).

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

12964775096 is a wasteful number, since it uses less digits than its factorization.

12964775096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2701 (or 2697 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 56.

The spelling of 12964775096 in words is "twelve billion, nine hundred sixty-four million, seven hundred seventy-five thousand, ninety-six".

Divisors: 1 2 4 7 8 13 14 19 26 28 38 52 56 76 91 104 133 152 182 247 266 364 419 494 532 728 838 988 1064 1676 1729 1976 2237 2933 3352 3458 4474 5447 5866 6916 7961 8948 10894 11732 13832 15659 15922 17896 21788 23464 29081 31318 31844 38129 42503 43576 55727 58162 62636 63688 76258 85006 103493 111454 116324 125272 152516 170012 203567 206986 222908 232648 297521 305032 340024 407134 413972 445816 552539 595042 724451 814268 827944 937303 1105078 1190084 1448902 1628536 1874606 2210156 2380168 2897804 3749212 3867773 4420312 5795608 6561121 7498424 7735546 12184939 13122242 15471092 17808757 24369878 26244484 30942184 35617514 48739756 52488968 71235028 85294573 97479512 124661299 142470056 170589146 231513841 249322598 341178292 463027682 498645196 682356584 926055364 997290392 1620596887 1852110728 3241193774 6482387548 12964775096