[go: up one dir, main page]

Search a number
-
+
2545146414 = 23347132341
BaseRepresentation
bin1001011110110011…
…1101101000101110
320120101010211112000
42113230331220232
520203024141124
61100315153130
7120033246636
oct22754755056
96511124460
102545146414
11109673a198
125b04457a6
133173a85c5
141a20436c6
15ed6976c9
hex97b3da2e

2545146414 has 16 divisors (see below), whose sum is σ = 5655881040. Its totient is φ = 848382120.

The previous prime is 2545146413. The next prime is 2545146437. The reversal of 2545146414 is 4146415452.

2545146414 is a `hidden beast` number, since 2 + 5 + 4 + 5 + 1 + 4 + 641 + 4 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2545146413) 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 7 ways as a sum of consecutive naturals, for example, 23566117 + ... + 23566224.

It is an arithmetic number, because the mean of its divisors is an integer number (353492565).

Almost surely, 22545146414 is an apocalyptic number.

2545146414 is an abundant number, since it is smaller than the sum of its proper divisors (3110734626).

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

2545146414 is a wasteful number, since it uses less digits than its factorization.

2545146414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47132352 (or 47132346 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

The square root of 2545146414 is about 50449.4441396533. Note that the first 3 decimals coincide. The cubic root of 2545146414 is about 1365.3298659369.

The spelling of 2545146414 in words is "two billion, five hundred forty-five million, one hundred forty-six thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 47132341 94264682 141397023 282794046 424191069 848382138 1272573207 2545146414