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4381005338661 = 372926710933967
BaseRepresentation
bin111111110000001000010…
…001000101100000100101
3120111211010210110022001110
4333300020101011200211
51033234244331314121
613152334524415233
7631342252644540
oct77601021054045
916454123408043
104381005338661
111439a79334846
125a90999a7519
1325a1861182a3
14112082957857
1578e60020d76
hex3fc08445825

4381005338661 has 96 divisors (see below), whose sum is σ = 7081735598080. Its totient is φ = 2359116410112.

The previous prime is 4381005338653. The next prime is 4381005338663. The reversal of 4381005338661 is 1668335001834.

It is not a de Polignac number, because 4381005338661 - 23 = 4381005338653 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4381005338661.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4381005338663) 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 95 ways as a sum of consecutive naturals, for example, 128961300 + ... + 128995266.

Almost surely, 24381005338661 is an apocalyptic number.

It is an amenable number.

4381005338661 is a deficient number, since it is larger than the sum of its proper divisors (2700730259419).

4381005338661 is a wasteful number, since it uses less digits than its factorization.

4381005338661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34211 (or 34182 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The spelling of 4381005338661 in words is "four trillion, three hundred eighty-one billion, five million, three hundred thirty-eight thousand, six hundred sixty-one".

Divisors: 1 3 7 21 29 67 87 109 201 203 327 469 609 763 841 1407 1943 2289 2523 3161 5829 5887 7303 9483 13601 17661 21909 22127 33967 40803 51121 56347 66381 91669 101901 153363 169041 211787 237769 275007 394429 635361 641683 713307 985043 1183287 1482509 1925049 2275789 2955129 3702403 4447527 6141823 6827367 6895301 11107209 15930523 18425469 20685903 25916821 28566247 42992761 47791569 65997881 77750463 85698741 107369687 128978283 197993643 199963729 248061001 322109061 461985167 599891187 744183003 751587809 1385955501 1736427007 1913938549 2254763427 3113720923 5209281021 5741815647 7193769029 9341162769 13397569843 21581307087 21796046461 40192709529 50356383203 65388139383 151069149609 208619301841 625857905523 1460335112887 4381005338661