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11348269548 = 22371121158207
BaseRepresentation
bin10101001000110100…
…01101100111101100
31002021212202211020120
422210122031213230
5141220124111143
65114024444540
7551135461650
oct124432154754
932255684216
1011348269548
1148a3890970
122248619750
1310bb125cc5
1479924aa60
15466435383
hex2a468d9ec

11348269548 has 96 divisors (see below), whose sum is σ = 33170178048. Its totient is φ = 2933582400.

The previous prime is 11348269453. The next prime is 11348269561. The reversal of 11348269548 is 84596284311.

11348269548 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 11348269548.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 165861 + ... + 224067.

It is an arithmetic number, because the mean of its divisors is an integer number (345522688).

Almost surely, 211348269548 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 11348269548, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16585089024).

11348269548 is an abundant number, since it is smaller than the sum of its proper divisors (21821908500).

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

11348269548 is a wasteful number, since it uses less digits than its factorization.

11348269548 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58443 (or 58441 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 51.

The spelling of 11348269548 in words is "eleven billion, three hundred forty-eight million, two hundred sixty-nine thousand, five hundred forty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 211 231 308 422 462 633 844 924 1266 1477 2321 2532 2954 4431 4642 5908 6963 8862 9284 13926 16247 17724 27852 32494 48741 58207 64988 97482 116414 174621 194964 232828 349242 407449 640277 698484 814898 1222347 1280554 1629796 1920831 2444694 2561108 3841662 4481939 4889388 7683324 8963878 12281677 13445817 17927756 24563354 26891634 36845031 49126708 53783268 73690062 85971739 135098447 147380124 171943478 257915217 270196894 343886956 405295341 515830434 540393788 810590682 945689129 1031660868 1621181364 1891378258 2837067387 3782756516 5674134774 11348269548