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2141032653 = 32237892517
BaseRepresentation
bin111111110011101…
…1001000011001101
312112012201201122200
41333213121003031
513341101021103
6552241432113
7104025322464
oct17747310315
95465651580
102141032653
119a9614581
124b903b639
13281756736
141644cb9db
15c7e700a3
hex7f9d90cd

2141032653 has 6 divisors (see below), whose sum is σ = 3092602734. Its totient is φ = 1427355096.

The previous prime is 2141032507. The next prime is 2141032687. The reversal of 2141032653 is 3562301412.

2141032653 is a `hidden beast` number, since 2 + 1 + 4 + 1 + 0 + 3 + 2 + 653 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1869870564 + 271162089 = 43242^2 + 16467^2 .

It is not a de Polignac number, because 2141032653 - 213 = 2141024461 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2141032693) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 118946250 + ... + 118946267.

It is an arithmetic number, because the mean of its divisors is an integer number (515433789).

Almost surely, 22141032653 is an apocalyptic number.

It is an amenable number.

2141032653 is a deficient number, since it is larger than the sum of its proper divisors (951570081).

2141032653 is a wasteful number, since it uses less digits than its factorization.

2141032653 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237892523 (or 237892520 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 2141032653 is about 46271.2940493347. The cubic root of 2141032653 is about 1288.8659891660.

The spelling of 2141032653 in words is "two billion, one hundred forty-one million, thirty-two thousand, six hundred fifty-three".

Divisors: 1 3 9 237892517 713677551 2141032653