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38221218045 = 32519596112421
BaseRepresentation
bin100011100110001010…
…011000000011111101
310122122200222001101100
4203212022120003331
51111234112434140
625320353203313
72522104664403
oct434612300375
9118580861340
1038221218045
111523397690a
1274a8260539
1337b16b116a
141bc8259473
15eda770530
hex8e62980fd

38221218045 has 96 divisors (see below), whose sum is σ = 72087350400. Its totient is φ = 18671731200.

The previous prime is 38221217959. The next prime is 38221218053. The reversal of 38221218045 is 54081212283.

It is a happy number.

38221218045 is a `hidden beast` number, since 382 + 21 + 218 + 0 + 45 = 666.

It is not a de Polignac number, because 38221218045 - 27 = 38221217917 is a prime.

It is a congruent number.

It is an unprimeable number.

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, 3070935 + ... + 3083355.

It is an arithmetic number, because the mean of its divisors is an integer number (750909900).

Almost surely, 238221218045 is an apocalyptic number.

It is an amenable number.

38221218045 is a deficient number, since it is larger than the sum of its proper divisors (33866132355).

38221218045 is a wasteful number, since it uses less digits than its factorization.

38221218045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12571 (or 12568 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 38221218045 in words is "thirty-eight billion, two hundred twenty-one million, two hundred eighteen thousand, forty-five".

Divisors: 1 3 5 9 15 19 45 57 59 61 95 171 177 183 285 295 305 531 549 855 885 915 1121 1159 2655 2745 3363 3477 3599 5605 5795 10089 10431 10797 12421 16815 17385 17995 32391 37263 50445 52155 53985 62105 68381 111789 161955 186315 205143 235999 341905 558945 615429 707997 732839 757681 1025715 1179995 2123991 2198517 2273043 3077145 3539985 3664195 3788405 6595551 6819129 10619955 10992585 11365215 13923941 14395939 32977755 34095645 41771823 43187817 44703179 69619705 71979695 125315469 129563451 134109537 208859115 215939085 223515895 402328611 626577345 647817255 670547685 849360401 2011643055 2548081203 4246802005 7644243609 12740406015 38221218045