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11029435508 = 22713217167821
BaseRepresentation
bin10100100010110011…
…11101010001110100
31001110122211101011102
422101121331101310
5140042013414013
65022235025232
7540214440440
oct122131752164
931418741142
1011029435508
11474a913163
12217989b218
13106a062700
14768b73820
15448455d58
hex29167d474

11029435508 has 144 divisors (see below), whose sum is σ = 25473740544. Its totient is φ = 4077066240.

The previous prime is 11029435481. The next prime is 11029435513. The reversal of 11029435508 is 80553492011.

It is a happy number.

11029435508 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13433738 + ... + 13434558.

It is an arithmetic number, because the mean of its divisors is an integer number (176900976).

Almost surely, 211029435508 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 11029435508, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12736870272).

11029435508 is an abundant number, since it is smaller than the sum of its proper divisors (14444305036).

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

11029435508 is a wasteful number, since it uses less digits than its factorization.

11029435508 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042 (or 1027 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 38.

The spelling of 11029435508 in words is "eleven billion, twenty-nine million, four hundred thirty-five thousand, five hundred eight".

Divisors: 1 2 4 7 13 14 17 26 28 34 52 68 91 119 167 169 182 221 238 334 338 364 442 476 668 676 821 884 1169 1183 1547 1642 2171 2338 2366 2839 2873 3094 3284 4342 4676 4732 5678 5746 5747 6188 8684 10673 11356 11492 11494 13957 15197 19873 20111 21346 22988 27914 28223 30394 36907 39746 40222 42692 55828 56446 60788 73814 74711 79492 80444 97699 112892 137107 138749 147628 149422 181441 195398 197561 258349 274214 277498 298844 362882 390796 395122 479791 516698 548428 554996 725764 790244 959582 959749 971243 1033396 1270087 1782391 1919164 1919498 1942486 2330819 2358733 2540174 3358537 3564782 3838996 3884972 4661638 4717466 5080348 6717074 7129564 9323276 9434932 12476737 13434148 16315733 16511131 23171083 24953474 30300647 32631466 33022262 46342166 49906948 60601294 65262932 66044524 92684332 121202588 162197581 212104529 324395162 393908411 424209058 648790324 787816822 848418116 1575633644 2757358877 5514717754 11029435508