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44642400066 = 23211415499187
BaseRepresentation
bin101001100100111001…
…001111011101000010
311021020012112220011200
4221210321033131002
51212411423300231
632301453322030
73140165065605
oct514471173502
9137205486150
1044642400066
1117a2951aa10
12879a796316
134295ac6954
142236d8433c
151264352be6
hexa64e4f742

44642400066 has 48 divisors (see below), whose sum is σ = 108092039328. Its totient is φ = 13198046400.

The previous prime is 44642400059. The next prime is 44642400073. The reversal of 44642400066 is 66000424644.

It is a happy number.

44642400066 is a `hidden beast` number, since 4 + 4 + 642 + 4 + 0 + 0 + 0 + 6 + 6 = 666.

44642400066 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (44642400059) and next prime (44642400073).

It is a self number, because there is not a number n which added to its sum of digits gives 44642400066.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2741476 + ... + 2757711.

It is an arithmetic number, because the mean of its divisors is an integer number (2251917486).

Almost surely, 244642400066 is an apocalyptic number.

44642400066 is an abundant number, since it is smaller than the sum of its proper divisors (63449639262).

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

44642400066 is a wasteful number, since it uses less digits than its factorization.

44642400066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5499247 (or 5499244 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 44642400066 in words is "forty-four billion, six hundred forty-two million, four hundred thousand, sixty-six".

Divisors: 1 2 3 6 9 11 18 22 33 41 66 82 99 123 198 246 369 451 738 902 1353 2706 4059 8118 5499187 10998374 16497561 32995122 49492683 60491057 98985366 120982114 181473171 225466667 362946342 450933334 544419513 676400001 1088839026 1352800002 2029200003 2480133337 4058400006 4960266674 7440400011 14880800022 22321200033 44642400066