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2541612381 = 3711390931
BaseRepresentation
bin1001011101111101…
…1110110101011101
320120010111021201220
42113133132311131
520201123044011
61100111323553
7116661230430
oct22737366535
96503437656
102541612381
111094746000
125ab2205b9
1331673bb69
141a17a3817
15ed1ea506
hex977ded5d

2541612381 has 32 divisors (see below), whose sum is σ = 4259982336. Its totient is φ = 1320303600.

The previous prime is 2541612377. The next prime is 2541612431. The reversal of 2541612381 is 1832161452.

It is not a de Polignac number, because 2541612381 - 22 = 2541612377 is a prime.

It is a super-2 number, since 2×25416123812 = 12919586990504978322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2541616381) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17515 + ... + 73416.

It is an arithmetic number, because the mean of its divisors is an integer number (133124448).

Almost surely, 22541612381 is an apocalyptic number.

2541612381 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2541612381 is a deficient number, since it is larger than the sum of its proper divisors (1718369955).

2541612381 is an equidigital number, since it uses as much as digits as its factorization.

2541612381 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90974 (or 90952 counting only the distinct ones).

The product of its digits is 11520, while the sum is 33.

The square root of 2541612381 is about 50414.4064826712. The cubic root of 2541612381 is about 1364.6976356668.

The spelling of 2541612381 in words is "two billion, five hundred forty-one million, six hundred twelve thousand, three hundred eighty-one".

Divisors: 1 3 7 11 21 33 77 121 231 363 847 1331 2541 3993 9317 27951 90931 272793 636517 1000241 1909551 3000723 7001687 11002651 21005061 33007953 77018557 121029161 231055671 363087483 847204127 2541612381