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12011249688 = 2334722946499
BaseRepresentation
bin10110010111110110…
…10010000000011000
31011000002021201000120
423023323102000120
5144044334442223
65303510433240
7603435636444
oct131373220030
934002251016
1012011249688
115104045739
1223b2662820
1311955a3149
1481d309824
154a4743be3
hex2cbed2018

12011249688 has 64 divisors (see below), whose sum is σ = 30801600000. Its totient is φ = 3901368192.

The previous prime is 12011249671. The next prime is 12011249693. The reversal of 12011249688 is 88694211021.

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, 235063 + ... + 281561.

It is an arithmetic number, because the mean of its divisors is an integer number (481275000).

Almost surely, 212011249688 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 12011249688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15400800000).

12011249688 is an abundant number, since it is smaller than the sum of its proper divisors (18790350312).

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

12011249688 is a wasteful number, since it uses less digits than its factorization.

12011249688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46784 (or 46780 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 42.

The spelling of 12011249688 in words is "twelve billion, eleven million, two hundred forty-nine thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 24 47 94 141 188 229 282 376 458 564 687 916 1128 1374 1832 2748 5496 10763 21526 32289 43052 46499 64578 86104 92998 129156 139497 185996 258312 278994 371992 557988 1115976 2185453 4370906 6556359 8741812 10648271 13112718 17483624 21296542 26225436 31944813 42593084 52450872 63889626 85186168 127779252 255558504 500468737 1000937474 1501406211 2001874948 3002812422 4003749896 6005624844 12011249688