Search a number
-
+
4962416231232 = 263222351677477
BaseRepresentation
bin100100000110110011100…
…0011101000001101000000
3122120101212022121212001100
41020031213003220031000
51122301012023344412
614315411425534400
71021344204666225
oct110154703501500
918511768555040
104962416231232
111643604657839
126818bb1a4400
1329cc52791535
1413227a06194c
158913ce19edc
hex483670e8340

4962416231232 has 168 divisors, whose sum is σ = 14292330730496. Its totient is φ = 1646182185984.

The previous prime is 4962416231203. The next prime is 4962416231317. The reversal of 4962416231232 is 2321326142694.

4962416231232 is a `hidden beast` number, since 4 + 9 + 6 + 2 + 4 + 1 + 623 + 12 + 3 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 663687078 + ... + 663694554.

Almost surely, 24962416231232 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 4962416231232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7146165365248).

4962416231232 is an abundant number, since it is smaller than the sum of its proper divisors (9329914499264).

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

4962416231232 is a wasteful number, since it uses less digits than its factorization.

4962416231232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12885 (or 12872 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The spelling of 4962416231232 in words is "four trillion, nine hundred sixty-two billion, four hundred sixteen million, two hundred thirty-one thousand, two hundred thirty-two".