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11091147232 = 2511374718119
BaseRepresentation
bin10100101010001010…
…10111100111100000
31001121221221122201211
422111011113213200
5140203313202412
65032321435504
7541564124134
oct122505274740
931557848654
1011091147232
114781733090
12219649bb94
131079a8b819
147730393c4
1544da95ca7
hex2951579e0

11091147232 has 96 divisors (see below), whose sum is σ = 24986465280. Its totient is φ = 4800545280.

The previous prime is 11091147217. The next prime is 11091147241. The reversal of 11091147232 is 23274119011.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11091147194 and 11091147203.

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, 603069 + ... + 621187.

It is an arithmetic number, because the mean of its divisors is an integer number (260275680).

Almost surely, 211091147232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11091147232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12493232640).

11091147232 is an abundant number, since it is smaller than the sum of its proper divisors (13895318048).

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

11091147232 is a wasteful number, since it uses less digits than its factorization.

11091147232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18224 (or 18216 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 31.

The spelling of 11091147232 in words is "eleven billion, ninety-one million, one hundred forty-seven thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 37 44 47 74 88 94 148 176 188 296 352 376 407 517 592 752 814 1034 1184 1504 1628 1739 2068 3256 3478 4136 6512 6956 8272 13024 13912 16544 18119 19129 27824 36238 38258 55648 72476 76516 144952 153032 199309 289904 306064 398618 579808 612128 670403 797236 851593 1340806 1594472 1703186 2681612 3188944 3406372 5363224 6377888 6812744 7374433 9367523 10726448 13625488 14748866 18735046 21452896 27250976 29497732 31508941 37470092 58995464 63017882 74940184 117990928 126035764 149880368 235981856 252071528 299760736 346598351 504143056 693196702 1008286112 1386393404 2772786808 5545573616 11091147232