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2067234048 = 2836111953
BaseRepresentation
bin111101100110111…
…0111110100000000
312100001212101000000
41323031313310000
513213202442143
6541044000000
7102141125265
oct17315676400
95301771000
102067234048
119709995a0
12498390000
1326c387c19
1415879b26c
15c1743bd3
hex7b377d00

2067234048 has 504 divisors, whose sum is σ = 7238458080. Its totient is φ = 582266880.

The previous prime is 2067234047. The next prime is 2067234053. The reversal of 2067234048 is 8404327602.

2067234048 is a `hidden beast` number, since 206 + 72 + 340 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2067234047) 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 55 ways as a sum of consecutive naturals, for example, 39004390 + ... + 39004442.

It is an arithmetic number, because the mean of its divisors is an integer number (14362020).

Almost surely, 22067234048 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 2067234048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3619229040).

2067234048 is an abundant number, since it is smaller than the sum of its proper divisors (5171224032).

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

2067234048 is an equidigital number, since it uses as much as digits as its factorization.

2067234048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 2067234048 is about 45466.8455910458. The cubic root of 2067234048 is about 1273.8840006205.

The spelling of 2067234048 in words is "two billion, sixty-seven million, two hundred thirty-four thousand, forty-eight".