Search a number
-
+
12072701409550 = 2528322722675653
BaseRepresentation
bin1010111110101110010100…
…0101000011100100001110
31120202010202022121100220121
42233223211011003210032
53040244343030101200
641402042241335154
72354136536545525
oct257534505034416
946663668540817
1012072701409550
113935005235951
12142b92b3374ba
136975b26c5412
142da4712b34bc
1515e08a793e1a
hexafae514390e

12072701409550 has 96 divisors (see below), whose sum is σ = 22839991396992. Its totient is φ = 4746946596480.

The previous prime is 12072701409533. The next prime is 12072701409577. The reversal of 12072701409550 is 5590410727021.

12072701409550 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12072701409497 and 12072701409506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2135624524 + ... + 2135630176.

It is an arithmetic number, because the mean of its divisors is an integer number (237916577052).

Almost surely, 212072701409550 is an apocalyptic number.

12072701409550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12072701409550 is a deficient number, since it is larger than the sum of its proper divisors (10767289987442).

12072701409550 is a wasteful number, since it uses less digits than its factorization.

12072701409550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8242 (or 8237 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 43.

The spelling of 12072701409550 in words is "twelve trillion, seventy-two billion, seven hundred one million, four hundred nine thousand, five hundred fifty".

Divisors: 1 2 5 10 25 50 83 166 227 415 454 830 1135 2075 2267 2270 4150 4534 5653 5675 11306 11335 11350 18841 22670 28265 37682 56530 56675 94205 113350 141325 188161 188410 282650 376322 469199 471025 514609 938398 940805 942050 1029218 1283231 1881610 2345995 2566462 2573045 4691990 4704025 5146090 6416155 9408050 11729975 12815351 12832310 12865225 23459950 25630702 25730450 32080775 42712547 64076755 64161550 85425094 106508173 128153510 213016346 213562735 320383775 427125470 532540865 640767550 1063674133 1065081730 1067813675 2127348266 2135627350 2662704325 2909084677 5318370665 5325408650 5818169354 10636741330 14545423385 26591853325 29090846770 53183706650 72727116925 145454233850 241454028191 482908056382 1207270140955 2414540281910 6036350704775 12072701409550