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11035013440 = 265114766701
BaseRepresentation
bin10100100011011110…
…01111000101000000
31001111001022202122111
422101233033011000
5140044430412230
65022554345104
7540313031563
oct122157170500
931431282574
1011035013440
114752a82a20
12217b72b194
13106b266569
147697c64da
15448ba892a
hex291bcf140

11035013440 has 112 divisors (see below), whose sum is σ = 29276308224. Its totient is φ = 3927296000.

The previous prime is 11035013419. The next prime is 11035013489. The reversal of 11035013440 is 4431053011.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

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, 132090 + ... + 198790.

Almost surely, 211035013440 is an apocalyptic number.

11035013440 is a gapful number since it is divisible by the number (10) 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 11035013440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14638154112).

11035013440 is an abundant number, since it is smaller than the sum of its proper divisors (18241294784).

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

11035013440 is a wasteful number, since it uses less digits than its factorization.

11035013440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66776 (or 66766 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

Adding to 11035013440 its reverse (4431053011), we get a palindrome (15466066451).

The spelling of 11035013440 in words is "eleven billion, thirty-five million, thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 47 55 64 80 88 94 110 160 176 188 220 235 320 352 376 440 470 517 704 752 880 940 1034 1504 1760 1880 2068 2585 3008 3520 3760 4136 5170 7520 8272 10340 15040 16544 20680 33088 41360 66701 82720 133402 165440 266804 333505 533608 667010 733711 1067216 1334020 1467422 2134432 2668040 2934844 3134947 3668555 4268864 5336080 5869688 6269894 7337110 10672160 11739376 12539788 14674220 15674735 21344320 23478752 25079576 29348440 31349470 34484417 46957504 50159152 58696880 62698940 68968834 100318304 117393760 125397880 137937668 172422085 200636608 234787520 250795760 275875336 344844170 501591520 551750672 689688340 1003183040 1103501344 1379376680 2207002688 2758753360 5517506720 11035013440