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11318030035984 = 247253222672
BaseRepresentation
bin1010010010110010111100…
…1010001110110000010000
31111001222210222021102201001
42210230233022032300100
52440413311142122414
640023233050551344
72245462222656400
oct244545712166020
944058728242631
1011318030035984
113673a499930a1
121329615438554
1364139376b6b9
142b1b1d0c2800
1514961bba6074
hexa4b2f28ec10

11318030035984 has 135 divisors (see below), whose sum is σ = 26010730679997. Its totient is φ = 4756964564352.

The previous prime is 11318030035979. The next prime is 11318030036003. The reversal of 11318030035984 is 48953003081311.

It is a happy number.

The square root of 11318030035984 is 3364228.

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

It can be written as a sum of positive squares in only one way, i.e., 8159135216400 + 3158894819584 = 2856420^2 + 1777328^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4992513219 + ... + 4992515485.

Almost surely, 211318030035984 is an apocalyptic number.

11318030035984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

11318030035984 is the 3364228-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11318030035984

11318030035984 is an abundant number, since it is smaller than the sum of its proper divisors (14692700644013).

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

11318030035984 is an frugal number, since it uses more digits than its factorization.

11318030035984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4662 (or 2329 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 46.

The spelling of 11318030035984 in words is "eleven trillion, three hundred eighteen billion, thirty million, thirty-five thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 49 53 56 98 106 112 196 212 371 392 424 742 784 848 1484 2267 2597 2809 2968 4534 5194 5618 5936 9068 10388 11236 15869 18136 19663 20776 22472 31738 36272 39326 41552 44944 63476 78652 111083 120151 126952 137641 157304 222166 240302 253904 275282 314608 444332 480604 550564 841057 888664 961208 1101128 1682114 1777328 1922416 2202256 3364228 5139289 5887399 6368003 6728456 10278578 11774798 12736006 13456912 20557156 23549596 25472012 35975023 41114312 44576021 47099192 50944024 71950046 82228624 89152042 94198384 101888048 143900092 178304084 251825161 272382317 287800184 312032147 356608168 503650322 544764634 575600368 624064294 713216336 1007300644 1089529268 1248128588 1906676219 2014601288 2179058536 2496257176 3813352438 4029202576 4358117072 4992514352 7626704876 13346733533 14436262801 15253409752 26693467066 28872525602 30506819504 53386934132 57745051204 101053839607 106773868264 115490102408 202107679214 213547736528 230980204816 404215358428 707376877249 808430716856 1414753754498 1616861433712 2829507508996 5659015017992 11318030035984