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10990895823504 = 243243126412
BaseRepresentation
bin1001111111110000010001…
…1100001111101010010000
31102220201102102112121000100
42133330010130033222100
52420033323312323004
635213051533252400
72213031434023602
oct237740434175220
942821372477010
1010990895823504
113558238184403
121296138934100
1361958b1ca27c
1429dd683a3172
15140d722a0739
hex9ff0470fa90

10990895823504 has 135 divisors (see below), whose sum is σ = 30878948881417. Its totient is φ = 3649429401600.

The previous prime is 10990895823497. The next prime is 10990895823581. The reversal of 10990895823504 is 40532859809901.

The square root of 10990895823504 is 3315252.

It is a perfect power (a square), and thus also a powerful number.

10990895823504 is a `hidden beast` number, since 10 + 9 + 9 + 0 + 8 + 9 + 582 + 35 + 0 + 4 = 666.

10990895823504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 9920912463504 + 1069983360000 = 3149748^2 + 1034400^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 17146483024 + ... + 17146483664.

Almost surely, 210990895823504 is an apocalyptic number.

10990895823504 is the 3315252-nd square number.

It is an amenable number.

10990895823504 is an abundant number, since it is smaller than the sum of its proper divisors (19888053057913).

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

10990895823504 is an frugal number, since it uses more digits than its factorization.

10990895823504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2158 (or 1077 counting only the distinct ones).

The product of its (nonzero) digits is 27993600, while the sum is 63.

The spelling of 10990895823504 in words is "ten trillion, nine hundred ninety billion, eight hundred ninety-five million, eight hundred twenty-three thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 431 641 862 1282 1293 1724 1923 2564 2586 3448 3846 3879 5128 5172 5769 6896 7692 7758 10256 10344 11538 15384 15516 20688 23076 30768 31032 46152 62064 92304 185761 276271 371522 410881 552542 557283 743044 821762 828813 1105084 1114566 1232643 1486088 1643524 1657626 1671849 2210168 2229132 2465286 2486439 2972176 3287048 3315252 3343698 3697929 4420336 4458264 4930572 4972878 6574096 6630504 6687396 7395858 8916528 9861144 9945756 13261008 13374792 14791716 19722288 19891512 26749584 29583432 39783024 59166864 119072801 177089711 238145602 354179422 357218403 476291204 531269133 708358844 714436806 952582408 1062538266 1071655209 1416717688 1428873612 1593807399 1905164816 2125076532 2143310418 2833435376 2857747224 3187614798 4250153064 4286620836 5715494448 6375229596 8500306128 8573241672 12750459192 17146483344 25500918384 76325665441 152651330882 228976996323 305302661764 457953992646 610605323528 686930988969 915907985292 1221210647056 1373861977938 1831815970584 2747723955876 3663631941168 5495447911752 10990895823504