Search a number
-
+
2741616557244 = 22331930714333037
BaseRepresentation
bin100111111001010101000…
…101001011110010111100
3100201002120222020101212000
4213321111011023302330
5324404312314312434
65455251541342300
7402034546142205
oct47712505136274
910632528211760
102741616557244
11967793088944
12383415a07990
1316b6c19659c6
14969a2d265ac
154b4b093bb99
hex27e5514bcbc

2741616557244 has 192 divisors, whose sum is σ = 7514077401600. Its totient is φ = 862067390976.

The previous prime is 2741616557237. The next prime is 2741616557257. The reversal of 2741616557244 is 4427556161472.

2741616557244 is a `hidden beast` number, since 2 + 7 + 4 + 1 + 6 + 1 + 65 + 572 + 4 + 4 = 666.

It is a super-2 number, since 2×27416165572442 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 902736894 + ... + 902739930.

It is an arithmetic number, because the mean of its divisors is an integer number (39135819800).

Almost surely, 22741616557244 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2741616557244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3757038700800).

2741616557244 is an abundant number, since it is smaller than the sum of its proper divisors (4772460844356).

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

2741616557244 is a wasteful number, since it uses less digits than its factorization.

2741616557244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4809 (or 4801 counting only the distinct ones).

The product of its digits is 11289600, while the sum is 54.

The spelling of 2741616557244 in words is "two trillion, seven hundred forty-one billion, six hundred sixteen million, five hundred fifty-seven thousand, two hundred forty-four".