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11026103307376 = 2419401587154087
BaseRepresentation
bin1010000001110011011011…
…1110001000110001110000
31110001002022002122002022111
42200130312332020301300
52421122424421314001
635241153312015104
72215416055504303
oct240346676106160
943032262562274
1011026103307376
11357116495a113
1212a0b23831494
1361c9ac3c8771
142a194827cb3a
15141c33167851
hexa0736f88c70

11026103307376 has 80 divisors (see below), whose sum is σ = 22582077154560. Its totient is φ = 5200957209600.

The previous prime is 11026103307371. The next prime is 11026103307397. The reversal of 11026103307376 is 67370330162011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11026103307371) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71480605 + ... + 71634691.

It is an arithmetic number, because the mean of its divisors is an integer number (282275964432).

Almost surely, 211026103307376 is an apocalyptic number.

11026103307376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11026103307376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11291038577280).

11026103307376 is an abundant number, since it is smaller than the sum of its proper divisors (11555973847184).

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

11026103307376 is a wasteful number, since it uses less digits than its factorization.

11026103307376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155102 (or 155096 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 40.

Adding to 11026103307376 its reverse (67370330162011), we get a palindrome (78396433469387).

The spelling of 11026103307376 in words is "eleven trillion, twenty-six billion, one hundred three million, three hundred seven thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 19 38 76 152 304 401 587 802 1174 1604 2348 3208 4696 6416 7619 9392 11153 15238 22306 30476 44612 60952 89224 121904 154087 178448 235387 308174 470774 616348 941548 1232696 1883096 2465392 2927653 3766192 4472353 5855306 8944706 11710612 17889412 23421224 35778824 46842448 61788887 71557648 90449069 123577774 180898138 247155548 361796276 494311096 723592552 988622192 1173988853 1447185104 1718532311 2347977706 3437064622 4695955412 6874129244 9391910824 13748258488 18783821648 27496516976 36270076669 72540153338 145080306676 290160613352 580321226704 689131456711 1378262913422 2756525826844 5513051653688 11026103307376