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9921363969 = 31119313471471
BaseRepresentation
bin10010011110101110…
…00000000000000001
3221121102210111202210
421033113000000001
5130304332121334
64320253132333
7500601126246
oct111727000001
927542714683
109921363969
114231395660
121b0a78a0a9
13c21616b8a
146a19335cd
153d10285e9
hex24f5c0001

9921363969 has 64 divisors (see below), whose sum is σ = 15736504320. Its totient is φ = 5493096000.

The previous prime is 9921363943. The next prime is 9921364003. The reversal of 9921363969 is 9693631299.

It is not a de Polignac number, because 9921363969 - 29 = 9921363457 is a prime.

It is a super-2 number, since 2×99213639692 (a number of 21 digits) contains 22 as substring.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (9921363919) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6743904 + ... + 6745374.

It is an arithmetic number, because the mean of its divisors is an integer number (245882880).

It is a Proth number, since it is equal to 37847 ⋅ 218 + 1 and 37847 < 218.

Almost surely, 29921363969 is an apocalyptic number.

It is an amenable number.

9921363969 is a deficient number, since it is larger than the sum of its proper divisors (5815140351).

9921363969 is a wasteful number, since it uses less digits than its factorization.

9921363969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1882.

The product of its digits is 4251528, while the sum is 57.

The square root of 9921363969 is about 99606.0438377110. The cubic root of 9921363969 is about 2148.7726161247.

The spelling of 9921363969 in words is "nine billion, nine hundred twenty-one million, three hundred sixty-three thousand, nine hundred sixty-nine".

Divisors: 1 3 11 19 31 33 57 93 209 341 347 589 627 1023 1041 1471 1767 3817 4413 6479 6593 10757 11451 16181 19437 19779 27949 32271 45601 48543 72523 83847 118327 136803 204383 217569 307439 354981 501611 510437 613149 866419 922317 1504833 1531311 2248213 2599257 5614807 6744639 9530609 9698303 15823547 16844421 28591827 29094909 47470641 106681333 174059017 300647393 320043999 522177051 901942179 3307121323 9921363969