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44506942011 = 3272414783631
BaseRepresentation
bin101001011100110100…
…100000101000111011
311020212202122220122200
4221130310200220323
51212122234121021
632240214121243
73133631523300
oct513464405073
9136782586580
1044506942011
111796a010304
128761350223
134273a19a5c
142222da30a7
1512574e7126
hexa5cd20a3b

44506942011 has 144 divisors (see below), whose sum is σ = 79305827328. Its totient is φ = 23953708800.

The previous prime is 44506941977. The next prime is 44506942033. The reversal of 44506942011 is 11024960544.

44506942011 is a `hidden beast` number, since 44 + 506 + 94 + 20 + 1 + 1 = 666.

It is not a de Polignac number, because 44506942011 - 211 = 44506939963 is a prime.

It is not an unprimeable number, because it can be changed into a prime (44506940011) 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 143 ways as a sum of consecutive naturals, for example, 70533666 + ... + 70534296.

It is an arithmetic number, because the mean of its divisors is an integer number (550734912).

Almost surely, 244506942011 is an apocalyptic number.

44506942011 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

44506942011 is a deficient number, since it is larger than the sum of its proper divisors (34798885317).

44506942011 is a wasteful number, since it uses less digits than its factorization.

44506942011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 44506942011 in words is "forty-four billion, five hundred six million, nine hundred forty-two thousand, eleven".

Divisors: 1 3 7 9 21 41 47 49 63 83 123 141 147 249 287 329 369 423 441 581 631 747 861 987 1743 1893 1927 2009 2303 2583 2961 3403 3901 4067 4417 5229 5679 5781 6027 6909 10209 11703 12201 13251 13489 17343 18081 20727 23821 25871 27307 29657 30627 30919 35109 36603 39753 40467 52373 71463 77613 81921 88971 92757 94423 121401 157119 159941 166747 181097 191149 207599 214389 232839 245763 266913 278271 283269 366611 471357 479823 500241 543291 573447 622797 849807 1099833 1119587 1215937 1267679 1439469 1453193 1500723 1629873 1720341 1868391 2147293 2461531 2566277 3299499 3358761 3647811 3803037 4359579 6441879 7384593 7698831 7837109 8511559 10076283 10943433 11409111 13078737 15031051 17230717 19325637 22153779 23096493 23511327 25534677 45093153 51692151 59580913 70533981 76604031 100922771 105217357 120615019 135279459 155076453 178742739 302768313 315652071 361845057 536228217 706459397 908304939 946956213 1085535171 2119378191 4945215779 6358134573 14835647337 44506942011