Search a number
-
+
2540255012000 = 2553976547049
BaseRepresentation
bin100100111101110010111…
…111110110010010100000
322222211211201222001101222
4210331302333312102200
5313104420240341000
65222551012514212
7351345613223426
oct44756277662240
98884751861358
102540255012000
1189a352803642
1235039a31b968
13155711540474
148ad400a3116
1546127bbba85
hex24f72ff64a0

2540255012000 has 96 divisors (see below), whose sum is σ = 6305751925200. Its totient is φ = 1005626572800.

The previous prime is 2540255011993. The next prime is 2540255012039. The reversal of 2540255012000 is 2105520452.

It can be written as a sum of positive squares in 8 ways, for example, as 28524507664 + 2511730504336 = 168892^2 + 1584844^2 .

It is a super-2 number, since 2×25402550120002 (a number of 26 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 2885525 + ... + 3661524.

Almost surely, 22540255012000 is an apocalyptic number.

2540255012000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2540255012000 is an abundant number, since it is smaller than the sum of its proper divisors (3765496913200).

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

2540255012000 is an equidigital number, since it uses as much as digits as its factorization.

2540255012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6547171 (or 6547153 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 26.

The spelling of 2540255012000 in words is "two trillion, five hundred forty billion, two hundred fifty-five million, twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 97 100 125 160 194 200 250 388 400 485 500 776 800 970 1000 1552 1940 2000 2425 3104 3880 4000 4850 7760 9700 12125 15520 19400 24250 38800 48500 77600 97000 194000 388000 6547049 13094098 26188196 32735245 52376392 65470490 104752784 130940980 163676225 209505568 261881960 327352450 523763920 635063753 654704900 818381125 1047527840 1270127506 1309409800 1636762250 2540255012 2618819600 3175318765 3273524500 5080510024 5237639200 6350637530 6547049000 10161020048 12701275060 13094098000 15876593825 20322040096 25402550120 26188196000 31753187650 50805100240 63506375300 79382969125 101610200480 127012750600 158765938250 254025501200 317531876500 508051002400 635063753000 1270127506000 2540255012000