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11029319392 = 257135417001
BaseRepresentation
bin10100100010110011…
…00000111011100000
31001110122121110212211
422101121200323200
5140042001210032
65022232331504
7540213445060
oct122131407340
931418543784
1011029319392
11474a8439a3
122179843b94
13106a0218c0
14768b433a0
15448431747
hex291660ee0

11029319392 has 96 divisors (see below), whose sum is σ = 26778112704. Its totient is φ = 4354560000.

The previous prime is 11029319339. The next prime is 11029319423. The reversal of 11029319392 is 29391392011.

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, 1571892 + ... + 1578892.

It is an arithmetic number, because the mean of its divisors is an integer number (278938674).

Almost surely, 211029319392 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 11029319392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13389056352).

11029319392 is an abundant number, since it is smaller than the sum of its proper divisors (15748793312).

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

11029319392 is a wasteful number, since it uses less digits than its factorization.

11029319392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7572 (or 7564 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 40.

The spelling of 11029319392 in words is "eleven billion, twenty-nine million, three hundred nineteen thousand, three hundred ninety-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 364 416 541 728 1082 1456 2164 2912 3787 4328 7001 7033 7574 8656 14002 14066 15148 17312 28004 28132 30296 49007 49231 56008 56264 60592 91013 98014 98462 112016 112528 121184 182026 196028 196924 224032 225056 364052 392056 393848 637091 728104 784112 787696 1274182 1456208 1568224 1575392 2548364 2912416 3787541 5096728 7575082 10193456 15150164 20386912 26512787 30300328 49238033 53025574 60600656 98476066 106051148 121201312 196952132 212102296 344666231 393904264 424204592 689332462 787808528 848409184 1378664924 1575617056 2757329848 5514659696 11029319392