Search a number
-
+
12607200160 = 255292717069
BaseRepresentation
bin10111011110111001…
…01001101110100000
31012112121200010101021
423233130221232200
5201304420401120
65443000015224
7624263301412
oct135734515640
935477603337
1012607200160
11538a488095
12253a161514
13125bbb1769
1487851a9b2
154dbc11aaa
hex2ef729ba0

12607200160 has 48 divisors (see below), whose sum is σ = 30811573800. Its totient is φ = 4868985856.

The previous prime is 12607200149. The next prime is 12607200163. The reversal of 12607200160 is 6100270621.

It can be written as a sum of positive squares in 4 ways, for example, as 8480936464 + 4126263696 = 92092^2 + 64236^2 .

It is not an unprimeable number, because it can be changed into a prime (12607200163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1353895 + ... + 1363174.

Almost surely, 212607200160 is an apocalyptic number.

12607200160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12607200160 is an abundant number, since it is smaller than the sum of its proper divisors (18204373640).

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

12607200160 is a wasteful number, since it uses less digits than its factorization.

12607200160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2717113 (or 2717105 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

Adding to 12607200160 its reverse (6100270621), we get a palindrome (18707470781).

The spelling of 12607200160 in words is "twelve billion, six hundred seven million, two hundred thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 80 116 145 160 232 290 464 580 928 1160 2320 4640 2717069 5434138 10868276 13585345 21736552 27170690 43473104 54341380 78795001 86946208 108682760 157590002 217365520 315180004 393975005 434731040 630360008 787950010 1260720016 1575900020 2521440032 3151800040 6303600080 12607200160