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2741121045260 = 2251341593433627
BaseRepresentation
bin100111111000110111100…
…010111101001100001100
3100201001022102211210012022
4213320313202331030030
5324402303441422020
65455130441025312
7402016351306643
oct47706742751414
910631272753168
102741121045260
11967559407404
123832b7a85238
1316b6430c2650
14969571bc35a
154b4821ad625
hex27e378bd30c

2741121045260 has 96 divisors (see below), whose sum is σ = 6361072990272. Its totient is φ = 985753313280.

The previous prime is 2741121045241. The next prime is 2741121045317. The reversal of 2741121045260 is 625401211472.

It is a self number, because there is not a number n which added to its sum of digits gives 2741121045260.

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 31 ways as a sum of consecutive naturals, for example, 6104567 + ... + 6538193.

It is an arithmetic number, because the mean of its divisors is an integer number (66261176982).

Almost surely, 22741121045260 is an apocalyptic number.

2741121045260 is a gapful number since it is divisible by the number (20) 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 2741121045260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3180536495136).

2741121045260 is an abundant number, since it is smaller than the sum of its proper divisors (3619951945012).

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

2741121045260 is a wasteful number, since it uses less digits than its factorization.

2741121045260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434283 (or 434281 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 35.

The spelling of 2741121045260 in words is "two trillion, seven hundred forty-one billion, one hundred twenty-one million, forty-five thousand, two hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 41 52 65 82 130 164 205 260 410 533 593 820 1066 1186 2132 2372 2665 2965 5330 5930 7709 10660 11860 15418 24313 30836 38545 48626 77090 97252 121565 154180 243130 316069 433627 486260 632138 867254 1264276 1580345 1734508 2168135 3160690 4336270 5637151 6321380 8672540 11274302 17778707 22548604 28185755 35557414 56371510 71114828 88893535 112743020 177787070 231123191 257140811 355574140 462246382 514281622 924492764 1028563244 1155615955 1285704055 2311231910 2571408110 3342830543 4622463820 5142816220 6685661086 10542773251 13371322172 16714152715 21085546502 33428305430 42171093004 52713866255 66856610860 105427732510 137056052263 210855465020 274112104526 548224209052 685280261315 1370560522630 2741121045260