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11011055640 = 23351370110069
BaseRepresentation
bin10100100000100111…
…10110000000011000
31001102101020120201120
422100103312000120
5140022312240030
65020341045240
7536602300014
oct122023660030
931371216646
1011011055640
1147404aa092
1221736b6820
1310662c8850
1476654b544
15446a25010
hex2904f6018

11011055640 has 128 divisors (see below), whose sum is σ = 35628465600. Its totient is φ = 2706278400.

The previous prime is 11011055597. The next prime is 11011055647. The reversal of 11011055640 is 4655011011.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11011055640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11011055647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1088526 + ... + 1098594.

Almost surely, 211011055640 is an apocalyptic number.

11011055640 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 11011055640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17814232800).

11011055640 is an abundant number, since it is smaller than the sum of its proper divisors (24617409960).

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

11011055640 is a wasteful number, since it uses less digits than its factorization.

11011055640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10797 (or 10793 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 24.

Adding to 11011055640 its reverse (4655011011), we get a palindrome (15666066651).

The spelling of 11011055640 in words is "eleven billion, eleven million, fifty-five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 701 780 1402 1560 2103 2804 3505 4206 5608 7010 8412 9113 10069 10515 14020 16824 18226 20138 21030 27339 28040 30207 36452 40276 42060 45565 50345 54678 60414 72904 80552 84120 91130 100690 109356 120828 130897 136695 151035 182260 201380 218712 241656 261794 273390 302070 364520 392691 402760 523588 546780 604140 654485 785382 1047176 1093560 1208280 1308970 1570764 1963455 2617940 3141528 3926910 5235880 7058369 7853820 14116738 15707640 21175107 28233476 35291845 42350214 56466952 70583690 84700428 91758797 105875535 141167380 169400856 183517594 211751070 275276391 282334760 367035188 423502140 458793985 550552782 734070376 847004280 917587970 1101105564 1376381955 1835175940 2202211128 2752763910 3670351880 5505527820 11011055640