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11064429592912 = 2429577271315233
BaseRepresentation
bin1010000100000010001101…
…1001010100000101010000
31110011202020010022010012101
42201000203121110011100
52422234422433433122
635310532341210144
72221243610531143
oct241004331240520
943152203263171
1011064429592912
113586442068763
1212a843b100954
136234a97a5b27
142a374244805a
15142c27c3e027
hexa1023654150

11064429592912 has 80 divisors (see below), whose sum is σ = 22224632153040. Its totient is φ = 5329876156416.

The previous prime is 11064429592891. The next prime is 11064429592943. The reversal of 11064429592912 is 21929592446011.

It can be written as a sum of positive squares in 8 ways, for example, as 2613408492816 + 8451021100096 = 1616604^2 + 2907064^2 .

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, 726338448 + ... + 726353680.

It is an arithmetic number, because the mean of its divisors is an integer number (277807901913).

Almost surely, 211064429592912 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 11064429592912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11112316076520).

11064429592912 is an abundant number, since it is smaller than the sum of its proper divisors (11160202560128).

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

11064429592912 is a wasteful number, since it uses less digits than its factorization.

11064429592912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18560 (or 18554 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 55.

The spelling of 11064429592912 in words is "eleven trillion, sixty-four billion, four hundred twenty-nine million, five hundred ninety-two thousand, nine hundred twelve".

Divisors: 1 2 4 8 16 29 58 116 232 464 577 1154 2308 2713 4616 5426 9232 10852 15233 16733 21704 30466 33466 43408 60932 66932 78677 121864 133864 157354 243728 267728 314708 441757 629416 883514 1258832 1565401 1767028 3130802 3534056 6261604 7068112 8789441 12523208 17578882 25046416 35157764 41327129 45396629 70315528 82654258 90793258 140631056 165308516 181586516 254893789 330617032 363173032 509787578 661234064 726346064 1019575156 1198486741 2039150312 2396973482 4078300624 4793946964 9587893928 19175787856 23845753433 47691506866 95383013732 190766027464 381532054928 691526849557 1383053699114 2766107398228 5532214796456 11064429592912