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11010086304 = 253742138917
BaseRepresentation
bin10100100000100000…
…01001010110100000
31001102022102100001020
422100100021112200
5140022040230204
65020304205440
7536561121660
oct122020112640
931368370036
1011010086304
11473a9a7888
122173309880
131066049589
147663781a0
154468d2bd9
hex2904095a0

11010086304 has 96 divisors (see below), whose sum is σ = 33109566336. Its totient is φ = 3138186240.

The previous prime is 11010086303. The next prime is 11010086357. The reversal of 11010086304 is 40368001011.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (11010086303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 263454 + ... + 302370.

It is an arithmetic number, because the mean of its divisors is an integer number (344891316).

Almost surely, 211010086304 is an apocalyptic number.

11010086304 is a gapful number since it is divisible by the number (14) 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 11010086304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16554783168).

11010086304 is an abundant number, since it is smaller than the sum of its proper divisors (22099480032).

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

11010086304 is a wasteful number, since it uses less digits than its factorization.

11010086304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39358 (or 39350 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 11010086304 its reverse (40368001011), we get a palindrome (51378087315).

The spelling of 11010086304 in words is "eleven billion, ten million, eighty-six thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 421 672 842 1263 1684 2526 2947 3368 5052 5894 6736 8841 10104 11788 13472 17682 20208 23576 35364 38917 40416 47152 70728 77834 94304 116751 141456 155668 233502 272419 282912 311336 467004 544838 622672 817257 934008 1089676 1245344 1634514 1868016 2179352 3269028 3736032 4358704 6538056 8717408 13076112 16384057 26152224 32768114 49152171 65536228 98304342 114688399 131072456 196608684 229376798 262144912 344065197 393217368 458753596 524289824 688130394 786434736 917507192 1376260788 1572869472 1835014384 2752521576 3670028768 5505043152 11010086304