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11029604768 = 2571313727647
BaseRepresentation
bin10100100010110101…
…00110100110100000
31001110200010222100022
422101122212212200
5140042034323033
65022242413012
7540216044060
oct122132464640
931420128308
1011029604768
11474aa19346
122179961168
13106a0c1770
14768bb93a0
1544848b098
hex2916a69a0

11029604768 has 96 divisors (see below), whose sum is σ = 26921631744. Its totient is φ = 4331354112.

The previous prime is 11029604749. The next prime is 11029604809. The reversal of 11029604768 is 86740692011.

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, 385121 + ... + 412767.

It is an arithmetic number, because the mean of its divisors is an integer number (280433664).

Almost surely, 211029604768 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 11029604768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13460815872).

11029604768 is an abundant number, since it is smaller than the sum of its proper divisors (15892026976).

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

11029604768 is a wasteful number, since it uses less digits than its factorization.

11029604768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27814 (or 27806 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 44.

The spelling of 11029604768 in words is "eleven billion, twenty-nine million, six hundred four thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 137 182 208 224 274 364 416 548 728 959 1096 1456 1781 1918 2192 2912 3562 3836 4384 7124 7672 12467 14248 15344 24934 27647 28496 30688 49868 55294 56992 99736 110588 193529 199472 221176 359411 387058 398944 442352 718822 774116 884704 1437644 1548232 2515877 2875288 3096464 3787639 5031754 5750576 6192928 7575278 10063508 11501152 15150556 20127016 26513473 30301112 40254032 49239307 53026946 60602224 80508064 98478614 106053892 121204448 196957228 212107784 344675149 393914456 424215568 689350298 787828912 848431136 1378700596 1575657824 2757401192 5514802384 11029604768