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11062177340 = 225191031372063
BaseRepresentation
bin10100100110101101…
…10110111000111100
31001112221102211111212
422103112312320330
5140123404133330
65025404503552
7541062645614
oct122326667074
931487384455
1011062177340
114767346625
12218884abb8
131073a87686
1476d257a44
1544b272295
hex2935b6e3c

11062177340 has 96 divisors (see below), whose sum is σ = 24882923520. Its totient is φ = 4118985216.

The previous prime is 11062177261. The next prime is 11062177363. The reversal of 11062177340 is 4377126011.

It is a junction number, because it is equal to n+sod(n) for n = 11062177297 and 11062177306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5361149 + ... + 5363211.

It is an arithmetic number, because the mean of its divisors is an integer number (259197120).

Almost surely, 211062177340 is an apocalyptic number.

11062177340 is a gapful number since it is divisible by the number (10) 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 11062177340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12441461760).

11062177340 is an abundant number, since it is smaller than the sum of its proper divisors (13820746180).

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

11062177340 is a wasteful number, since it uses less digits than its factorization.

11062177340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2331 (or 2329 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 32.

The spelling of 11062177340 in words is "eleven billion, sixty-two million, one hundred seventy-seven thousand, three hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 95 103 137 190 206 274 380 412 515 548 685 1030 1370 1957 2060 2063 2603 2740 3914 4126 5206 7828 8252 9785 10315 10412 13015 14111 19570 20630 26030 28222 39140 39197 41260 52060 56444 70555 78394 141110 156788 195985 212489 268109 282220 282631 391970 424978 536218 565262 783940 849956 1062445 1072436 1130524 1340545 1413155 2124890 2681090 2826310 4037291 4249780 5362180 5369989 5652620 8074582 10739978 16149164 20186455 21479956 26849945 29110993 40372910 53699890 58221986 80745820 107399780 116443972 145554965 291109930 553108867 582219860 1106217734 2212435468 2765544335 5531088670 11062177340