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11014262336 = 26731145613
BaseRepresentation
bin10100100001000000…
…00100111001000000
31001102121021111111002
422100200010321000
5140024122343321
65020533511132
7536641454000
oct122040047100
931377244432
1011014262336
11474229a350
1221747a24a8
131066b7c2bc
14766b44000
15446e5a20b
hex290804e40

11014262336 has 112 divisors (see below), whose sum is σ = 27806294400. Its totient is φ = 4291176960.

The previous prime is 11014262291. The next prime is 11014262377. The reversal of 11014262336 is 63326241011.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 11014262299 and 11014262308.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 218666 + ... + 264278.

Almost surely, 211014262336 is an apocalyptic number.

11014262336 is a gapful number since it is divisible by the number (16) 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 11014262336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13903147200).

11014262336 is an abundant number, since it is smaller than the sum of its proper divisors (16792032064).

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

11014262336 is an equidigital number, since it uses as much as digits as its factorization.

11014262336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45657 (or 45633 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The spelling of 11014262336 in words is "eleven billion, fourteen million, two hundred sixty-two thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 49 56 64 77 88 98 112 154 176 196 224 308 343 352 392 448 539 616 686 704 784 1078 1232 1372 1568 2156 2464 2744 3136 3773 4312 4928 5488 7546 8624 10976 15092 17248 21952 30184 34496 45613 60368 91226 120736 182452 241472 319291 364904 501743 638582 729808 1003486 1277164 1459616 2006972 2235037 2554328 2919232 3512201 4013944 4470074 5108656 7024402 8027888 8940148 10217312 14048804 15645259 16055776 17880296 20434624 24585407 28097608 31290518 32111552 35760592 49170814 56195216 62581036 71521184 98341628 112390432 125162072 143042368 172097849 196683256 224780864 250324144 344195698 393366512 500648288 688391396 786733024 1001296576 1376782792 1573466048 2753565584 5507131168 11014262336