Search a number
-
+
35201240456132 = 222310919173325073
BaseRepresentation
bin10000000000011111011010…
…11011101101101111000100
311121122012112222020021022102
420000033231123231233010
514103214120024044012
6202511120541051232
710262130360661502
oct1000175533555704
9147565488207272
1035201240456132
11102418425a7873
123b462a0256b18
13168460281019a
14899a6b875672
154109e97ec2c2
hex2003ed6edbc4

35201240456132 has 96 divisors (see below), whose sum is σ = 65301457858560. Its totient is φ = 16570289387520.

The previous prime is 35201240456101. The next prime is 35201240456209. The reversal of 35201240456132 is 23165404210253.

35201240456132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1403937548 + ... + 1403962620.

It is an arithmetic number, because the mean of its divisors is an integer number (680223519360).

Almost surely, 235201240456132 is an apocalyptic number.

It is an amenable number.

35201240456132 is a deficient number, since it is larger than the sum of its proper divisors (30100217402428).

35201240456132 is a wasteful number, since it uses less digits than its factorization.

35201240456132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26133 (or 26131 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 38.

Adding to 35201240456132 its reverse (23165404210253), we get a palindrome (58366644666385).

The spelling of 35201240456132 in words is "thirty-five trillion, two hundred one billion, two hundred forty million, four hundred fifty-six thousand, one hundred thirty-two".

Divisors: 1 2 4 23 46 92 109 191 218 382 436 733 764 1466 2507 2932 4393 5014 8786 10028 16859 17572 20819 25073 33718 41638 50146 67436 79897 83276 100292 140003 159794 280006 319588 478837 560012 576679 957674 1153358 1837631 1915348 2306716 2732957 3220069 3675262 4788943 5465914 6440138 7350524 9577886 10931828 12880276 15260327 18378509 19155772 30520654 36757018 61041308 62858011 73514036 110145689 125716022 220291378 251432044 350987521 422705707 440582756 521994787 701975042 845411414 1043989574 1403950084 1690822828 2003257481 2087979148 3510295219 4006514962 7020590438 8013029924 12005880101 14041180876 24011760202 46074922063 48023520404 80736790037 92149844126 161473580074 184299688252 322947160148 382622178871 765244357742 1530488715484 8800310114033 17600620228066 35201240456132