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2002135784 = 231122751543
BaseRepresentation
bin111011101010110…
…0010101011101000
312011112101000222012
41313111202223220
513100021321114
6530400415052
7100420605365
oct16725425350
95145330865
102002135784
11938176280
1247a617488
1325ba4453c
1414dc9346c
15bab8563e
hex77562ae8

2002135784 has 16 divisors (see below), whose sum is σ = 4095277920. Its totient is φ = 910061680.

The previous prime is 2002135783. The next prime is 2002135799. The reversal of 2002135784 is 4875312002.

It is a self number, because there is not a number n which added to its sum of digits gives 2002135784.

It is not an unprimeable number, because it can be changed into a prime (2002135783) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11375684 + ... + 11375859.

It is an arithmetic number, because the mean of its divisors is an integer number (255954870).

Almost surely, 22002135784 is an apocalyptic number.

It is an amenable number.

2002135784 is an abundant number, since it is smaller than the sum of its proper divisors (2093142136).

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

2002135784 is a wasteful number, since it uses less digits than its factorization.

2002135784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22751560 (or 22751556 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 2002135784 is about 44745.2319694512. The cubic root of 2002135784 is about 1260.3693768811.

Adding to 2002135784 its reverse (4875312002), we get a palindrome (6877447786).

The spelling of 2002135784 in words is "two billion, two million, one hundred thirty-five thousand, seven hundred eighty-four".

Divisors: 1 2 4 8 11 22 44 88 22751543 45503086 91006172 182012344 250266973 500533946 1001067892 2002135784