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2051142912 = 28347131087
BaseRepresentation
bin111101001000001…
…1111010100000000
312021221120212010000
41322100133110000
513200043033122
6535311040000
7101554266330
oct17220372400
95257525100
102051142912
119628a9035
12492b10000
13268c42a40
141565ad0c0
15c01160ac
hex7a41f500

2051142912 has 360 divisors, whose sum is σ = 7534478336. Its totient is φ = 540463104.

The previous prime is 2051142893. The next prime is 2051142913. The reversal of 2051142912 is 2192411502.

2051142912 is a `hidden beast` number, since 20 + 511 + 42 + 91 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2051142913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1886433 + ... + 1887519.

Almost surely, 22051142912 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 2051142912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3767239168).

2051142912 is an abundant number, since it is smaller than the sum of its proper divisors (5483335424).

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

2051142912 is a wasteful number, since it uses less digits than its factorization.

2051142912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1135 (or 1112 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 2051142912 is about 45289.5452836524. The cubic root of 2051142912 is about 1270.5701269750.

The spelling of 2051142912 in words is "two billion, fifty-one million, one hundred forty-two thousand, nine hundred twelve".