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2147146506 = 232119285917
BaseRepresentation
bin111111111111010…
…1101101100001010
312112122020100021200
41333332231230022
513344132142011
6553020445030
7104131305231
oct17776555412
95478210250
102147146506
11a0200aa4a
124bb0a9776
13282ab74bb
1416523db18
15c877b856
hex7ffadb0a

2147146506 has 12 divisors (see below), whose sum is σ = 4652150802. Its totient is φ = 715715496.

The previous prime is 2147146501. The next prime is 2147146513. The reversal of 2147146506 is 6056417412.

2147146506 is a `hidden beast` number, since 2 + 1 + 4 + 7 + 146 + 506 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1828845225 + 318301281 = 42765^2 + 17841^2 .

It is a super-2 number, since 2×21471465062 = 9220476236456016072, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2147146501) 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, 59642941 + ... + 59642976.

Almost surely, 22147146506 is an apocalyptic number.

2147146506 is an abundant number, since it is smaller than the sum of its proper divisors (2505004296).

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

2147146506 is a wasteful number, since it uses less digits than its factorization.

2147146506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119285925 (or 119285922 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2147146506 is about 46337.3122440221. The cubic root of 2147146506 is about 1290.0916358196.

The spelling of 2147146506 in words is "two billion, one hundred forty-seven million, one hundred forty-six thousand, five hundred six".

Divisors: 1 2 3 6 9 18 119285917 238571834 357857751 715715502 1073573253 2147146506