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11332884408 = 23383131137317
BaseRepresentation
bin10101000110111111…
…00001011110111000
31002020210211011210120
422203133201132320
5141202204300113
65112315013240
7550560633216
oct124337413670
932223734716
1011332884408
11489613287a
12224343a220
1310b7b9a281
147971a3cb6
15464de6a23
hex2a37e17b8

11332884408 has 128 divisors (see below), whose sum is σ = 29195147520. Its totient is φ = 3664993280.

The previous prime is 11332884397. The next prime is 11332884439. The reversal of 11332884408 is 80448823311.

It is a self number, because there is not a number n which added to its sum of digits gives 11332884408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35750266 + ... + 35750582.

It is an arithmetic number, because the mean of its divisors is an integer number (228087090).

Almost surely, 211332884408 is an apocalyptic number.

It is an amenable number.

11332884408 is an abundant number, since it is smaller than the sum of its proper divisors (17862263112).

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

11332884408 is a wasteful number, since it uses less digits than its factorization.

11332884408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The spelling of 11332884408 in words is "eleven billion, three hundred thirty-two million, eight hundred eighty-four thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 24 83 131 137 166 249 262 274 317 332 393 411 498 524 548 634 664 786 822 951 996 1048 1096 1268 1572 1644 1902 1992 2536 3144 3288 3804 7608 10873 11371 17947 21746 22742 26311 32619 34113 35894 41527 43429 43492 45484 52622 53841 65238 68226 71788 78933 83054 86858 86984 90968 105244 107682 124581 130287 130476 136452 143576 157866 166108 173716 210488 215364 249162 260574 260952 272904 315732 332216 347432 430728 498324 521148 631464 996648 1042296 1489601 2979202 3446741 3604607 4468803 5689199 5958404 6893482 7209214 8937606 10340223 10813821 11378398 11916808 13786964 14418428 17067597 17875212 20680446 21627642 22756796 27573928 28836856 34135194 35750424 41360892 43255284 45513592 68270388 82721784 86510568 136540776 472203517 944407034 1416610551 1888814068 2833221102 3777628136 5666442204 11332884408