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2741049636 = 22313311274463
BaseRepresentation
bin1010001101100001…
…0001100100100100
321002000202202012220
42203120101210210
521103202042021
61131554112340
7124632352233
oct24330214444
97060682186
102741049636
111187284186
12645b7b6b0
13348b59c80
141c007ab1a
15110992cc6
hexa3611924

2741049636 has 96 divisors (see below), whose sum is σ = 7167541248. Its totient is φ = 809585280.

The previous prime is 2741049631. The next prime is 2741049673. The reversal of 2741049636 is 6369401472.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2741049631) 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, 611941 + ... + 616403.

It is an arithmetic number, because the mean of its divisors is an integer number (74661888).

Almost surely, 22741049636 is an apocalyptic number.

2741049636 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2741049636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3583770624).

2741049636 is an abundant number, since it is smaller than the sum of its proper divisors (4426491612).

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

2741049636 is a wasteful number, since it uses less digits than its factorization.

2741049636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4641 (or 4639 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The square root of 2741049636 is about 52355.0344857111. The cubic root of 2741049636 is about 1399.4980574748.

The spelling of 2741049636 in words is "two billion, seven hundred forty-one million, forty-nine thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 12 13 26 31 39 52 62 78 93 124 127 156 186 254 372 381 403 508 762 806 1209 1524 1612 1651 2418 3302 3937 4463 4836 4953 6604 7874 8926 9906 11811 13389 15748 17852 19812 23622 26778 47244 51181 53556 58019 102362 116038 138353 153543 174057 204724 232076 276706 307086 348114 415059 553412 566801 614172 696228 830118 1133602 1660236 1700403 1798589 2267204 3400806 3597178 5395767 6801612 7194356 7368413 10791534 14736826 17570831 21583068 22105239 29473652 35141662 44210478 52712493 70283324 88420956 105424986 210849972 228420803 456841606 685262409 913683212 1370524818 2741049636