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2741001472 = 2811973367
BaseRepresentation
bin1010001101100000…
…0101110100000000
321002000200022011001
42203120011310000
521103144021342
61131553101344
7124632061636
oct24330056400
97060608131
102741001472
111187250a80
12645b57854
13348b41081
141c0067356
151109838b7
hexa3605d00

2741001472 has 36 divisors (see below), whose sum is σ = 5968692576. Its totient is φ = 1245908480.

The previous prime is 2741001469. The next prime is 2741001499.

2741001472 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 2741001472.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 483868 + ... + 489499.

It is an arithmetic number, because the mean of its divisors is an integer number (165797016).

Almost surely, 22741001472 is an apocalyptic number.

2741001472 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2741001472 is an abundant number, since it is smaller than the sum of its proper divisors (3227691104).

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

2741001472 is an equidigital number, since it uses as much as digits as its factorization.

2741001472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 973394 (or 973380 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 28.

The square root of 2741001472 is about 52354.5745088240. The cubic root of 2741001472 is about 1399.4898603936.

It can be divided in two parts, 274100 and 1472, that added together give a palindrome (275572).

The spelling of 2741001472 in words is "two billion, seven hundred forty-one million, one thousand, four hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 704 1408 2816 973367 1946734 3893468 7786936 10707037 15573872 21414074 31147744 42828148 62295488 85656296 124590976 171312592 249181952 342625184 685250368 1370500736 2741001472