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9189429249 = 371113319953
BaseRepresentation
bin10001000111011101…
…11001000000000001
3212201102112101002110
420203232321000001
5122304443213444
64115505205533
7443502600630
oct104356710001
925642471073
109189429249
113996214230
1219456308a9
13b35aa6000
14632645517
1538bb48cb9
hex223bb9001

9189429249 has 128 divisors (see below), whose sum is σ = 17437593600. Its totient is φ = 4170216960.

The previous prime is 9189429233. The next prime is 9189429299. The reversal of 9189429249 is 9429249819.

It is not a de Polignac number, because 9189429249 - 24 = 9189429233 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (9189429299) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9642157 + ... + 9643109.

It is an arithmetic number, because the mean of its divisors is an integer number (136231200).

Almost surely, 29189429249 is an apocalyptic number.

It is an amenable number.

9189429249 is a deficient number, since it is larger than the sum of its proper divisors (8248164351).

9189429249 is a wasteful number, since it uses less digits than its factorization.

9189429249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032 (or 1006 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 57.

The square root of 9189429249 is about 95861.5107798745. The cubic root of 9189429249 is about 2094.5762723031.

The spelling of 9189429249 in words is "nine billion, one hundred eighty-nine million, four hundred twenty-nine thousand, two hundred forty-nine".

Divisors: 1 3 7 11 13 19 21 33 39 57 77 91 133 143 169 209 231 247 273 399 429 507 627 741 953 1001 1183 1463 1729 1859 2197 2717 2859 3003 3211 3549 4389 5187 5577 6591 6671 8151 9633 10483 12389 13013 15379 18107 19019 20013 22477 24167 31449 35321 37167 39039 41743 46137 54321 57057 67431 72501 73381 86723 105963 125229 126749 136279 161057 169169 199177 220143 235391 247247 260169 292201 380247 408837 459173 483171 507507 597531 706173 741741 876603 953953 1127399 1377519 1394239 1647737 1771627 2093741 2589301 2861859 3060083 3214211 3382197 4182717 4943211 5314881 6281223 7767903 9180249 9642633 12401389 14656187 18125107 21420581 23031151 33660913 37204167 39781079 43968561 54375321 64261743 69093453 100982739 119343237 161218057 235626391 278467553 437591869 483654171 706879173 835402659 1312775607 3063143083 9189429249