Search a number
-
+
2002062411432 = 233227806422381
BaseRepresentation
bin11101001000100100001…
…110000000011010101000
321002101200011122012120200
4131020210032000122220
5230300210434131212
64131422413352200
7264433654466256
oct35104416003250
97071604565520
102002062411432
11702085046046
1228401a798660
13116a41921175
146cc867535d6
15371290bc6dc
hex1d2243806a8

2002062411432 has 24 divisors (see below), whose sum is σ = 5422252364490. Its totient is φ = 667354137120.

The previous prime is 2002062411407. The next prime is 2002062411463. The reversal of 2002062411432 is 2341142602002.

2002062411432 is a `hidden beast` number, since 2 + 0 + 0 + 2 + 0 + 624 + 1 + 1 + 4 + 32 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1985884097796 + 16178313636 = 1409214^2 + 127194^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a junction number, because it is equal to n+sod(n) for n = 2002062411396 and 2002062411405.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13903211119 + ... + 13903211262.

Almost surely, 22002062411432 is an apocalyptic number.

It is an amenable number.

2002062411432 is an abundant number, since it is smaller than the sum of its proper divisors (3420189953058).

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

2002062411432 is a wasteful number, since it uses less digits than its factorization.

2002062411432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27806422393 (or 27806422386 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 2002062411432 in words is "two trillion, two billion, sixty-two million, four hundred eleven thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 27806422381 55612844762 83419267143 111225689524 166838534286 222451379048 250257801429 333677068572 500515602858 667354137144 1001031205716 2002062411432