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2142416653 = 131777312541
BaseRepresentation
bin111111110110010…
…1010111100001101
312112022100001010221
41333230222330031
513341424313103
6552331231341
7104043145456
oct17754527415
95468301127
102142416653
119aa37a383
124b95a8551
13281b1c680
1416476c12d
15c81451bd
hex7fb2af0d

2142416653 has 16 divisors (see below), whose sum is σ = 2446292016. Its totient is φ = 1858728960.

The previous prime is 2142416641. The next prime is 2142416659. The reversal of 2142416653 is 3566142412.

It can be written as a sum of positive squares in 8 ways, for example, as 25220484 + 2117196169 = 5022^2 + 46013^2 .

It is a cyclic number.

It is not a de Polignac number, because 2142416653 - 25 = 2142416621 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142416659) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 164563 + ... + 177103.

It is an arithmetic number, because the mean of its divisors is an integer number (152893251).

Almost surely, 22142416653 is an apocalyptic number.

It is an amenable number.

2142416653 is a deficient number, since it is larger than the sum of its proper divisors (303875363).

2142416653 is a wasteful number, since it uses less digits than its factorization.

2142416653 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13344.

The product of its digits is 34560, while the sum is 34.

The square root of 2142416653 is about 46286.2469098543. The cubic root of 2142416653 is about 1289.1436443288.

The spelling of 2142416653 in words is "two billion, one hundred forty-two million, four hundred sixteen thousand, six hundred fifty-three".

Divisors: 1 13 17 221 773 10049 12541 13141 163033 170833 213197 2771561 9694193 126024509 164801281 2142416653