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11266451928 = 23322316740739
BaseRepresentation
bin10100111111000100…
…00110100111011000
31002002011211001120100
422133202012213120
5141033202430203
65101543055400
7546123155424
oct123742064730
932064731510
1011266451928
1148616890a6
122225141560
1310a71aa504
1478c42db84
1545e172ea3
hex29f8869d8

11266451928 has 96 divisors (see below), whose sum is σ = 32031417600. Its totient is φ = 3570604224.

The previous prime is 11266451927. The next prime is 11266452031. The reversal of 11266451928 is 82915466211.

11266451928 is a `hidden beast` number, since 1 + 126 + 6 + 4 + 519 + 2 + 8 = 666.

11266451928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11266451927) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 256183 + ... + 296921.

It is an arithmetic number, because the mean of its divisors is an integer number (333660600).

Almost surely, 211266451928 is an apocalyptic number.

11266451928 is a gapful number since it is divisible by the number (18) 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 11266451928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16015708800).

11266451928 is an abundant number, since it is smaller than the sum of its proper divisors (20764965672).

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

11266451928 is a wasteful number, since it uses less digits than its factorization.

11266451928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40941 (or 40934 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The spelling of 11266451928 in words is "eleven billion, two hundred sixty-six million, four hundred fifty-one thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 167 184 207 276 334 414 501 552 668 828 1002 1336 1503 1656 2004 3006 3841 4008 6012 7682 11523 12024 15364 23046 30728 34569 40739 46092 69138 81478 92184 122217 138276 162956 244434 276552 325912 366651 488868 733302 936997 977736 1466604 1873994 2810991 2933208 3747988 5621982 6803413 7495976 8432973 11243964 13606826 16865946 20410239 22487928 27213652 33731892 40820478 54427304 61230717 67463784 81640956 122461434 156478499 163281912 244922868 312956998 469435497 489845736 625913996 938870994 1251827992 1408306491 1877741988 2816612982 3755483976 5633225964 11266451928