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2632114906002 = 232146228605889
BaseRepresentation
bin100110010011010110010…
…001100010001110010010
3100022121221121120011110100
4212103112101202032102
5321111032403443002
65333102113113230
7361110155360451
oct46232621421622
910277847504410
102632114906002
1192530127760a
12366155b58816
1316129079342a
1491575dc8b98
154870248311c
hex264d6462392

2632114906002 has 12 divisors (see below), whose sum is σ = 5702915629710. Its totient is φ = 877371635328.

The previous prime is 2632114905961. The next prime is 2632114906007. The reversal of 2632114906002 is 2006094112362.

It is a happy number.

2632114906002 is a `hidden beast` number, since 2 + 6 + 3 + 2 + 1 + 1 + 49 + 0 + 600 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2430577658961 + 201537247041 = 1559031^2 + 448929^2 .

It is not an unprimeable number, because it can be changed into a prime (2632114906007) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 73114302927 + ... + 73114302962.

Almost surely, 22632114906002 is an apocalyptic number.

2632114906002 is an abundant number, since it is smaller than the sum of its proper divisors (3070800723708).

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

2632114906002 is a wasteful number, since it uses less digits than its factorization.

2632114906002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146228605897 (or 146228605894 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 2632114906002 in words is "two trillion, six hundred thirty-two billion, one hundred fourteen million, nine hundred six thousand, two".

Divisors: 1 2 3 6 9 18 146228605889 292457211778 438685817667 877371635334 1316057453001 2632114906002