Search a number
-
+
463032425142612 = 223313349944971847
BaseRepresentation
bin110100101001000000010001…
…1001110000101100101010100
32020201110110121211112211012000
41221102000203032011211110
5441142310401314030422
64320442054244155300
7166346663100325503
oct15122004316054524
92221413554484160
10463032425142612
11124599a48842aa6
1243b22952398b30
1316b49a02570c50
14824ac6340883a
15387e808ddecac
hex1a52023385954

463032425142612 has 96 divisors (see below), whose sum is σ = 1296501375456000. Its totient is φ = 142063287440256.

The previous prime is 463032425142589. The next prime is 463032425142629. The reversal of 463032425142612 is 216241524230364.

463032425142612 is a `hidden beast` number, since 4 + 6 + 3 + 0 + 3 + 2 + 4 + 25 + 1 + 4 + 2 + 612 = 666.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 471995928 + ... + 472975919.

It is an arithmetic number, because the mean of its divisors is an integer number (13505222661000).

Almost surely, 2463032425142612 is an apocalyptic number.

It is an amenable number.

463032425142612 is an abundant number, since it is smaller than the sum of its proper divisors (833468950313388).

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

463032425142612 is a wasteful number, since it uses less digits than its factorization.

463032425142612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944972222 (or 944972214 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

Adding to 463032425142612 its reverse (216241524230364), we get a palindrome (679273949372976).

The spelling of 463032425142612 in words is "four hundred sixty-three trillion, thirty-two billion, four hundred twenty-five million, one hundred forty-two thousand, six hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 349 351 468 698 702 1047 1396 1404 2094 3141 4188 4537 6282 9074 9423 12564 13611 18148 18846 27222 37692 40833 54444 81666 122499 163332 244998 489996 944971847 1889943694 2834915541 3779887388 5669831082 8504746623 11339662164 12284634011 17009493246 24569268022 25514239869 34018986492 36853902033 49138536044 51028479738 73707804066 102056959476 110561706099 147415608132 221123412198 329795174603 331685118297 442246824396 659590349206 663370236594 989385523809 1319180698412 1326740473188 1978771047618 2968156571427 3957542095236 4287337269839 5936313142854 8574674539678 8904469714281 11872626285708 12862011809517 17149349079356 17808939428562 25724023619034 35617878857124 38586035428551 51448047238068 77172070857102 115758106285653 154344141714204 231516212571306 463032425142612