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34466329821 = 37112193123029
BaseRepresentation
bin100000000110010110…
…100111010011011101
310021222000110222002010
4200012112213103131
51031041340023241
623500021021433
72330051653410
oct400626472335
9107860428063
1034466329821
1113687387800
12681a854879
1333337b0201
14194d6abb77
15d6acb5d16
hex8065a74dd

34466329821 has 96 divisors (see below), whose sum is σ = 62730035200. Its totient is φ = 16414358400.

The previous prime is 34466329819. The next prime is 34466329829. The reversal of 34466329821 is 12892366443.

It is not a de Polignac number, because 34466329821 - 21 = 34466329819 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34466329829) 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, 1485135 + ... + 1508163.

Almost surely, 234466329821 is an apocalyptic number.

34466329821 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

34466329821 is a deficient number, since it is larger than the sum of its proper divisors (28263705379).

34466329821 is a wasteful number, since it uses less digits than its factorization.

34466329821 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23111 (or 23100 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 48.

The spelling of 34466329821 in words is "thirty-four billion, four hundred sixty-six million, three hundred twenty-nine thousand, eight hundred twenty-one".

Divisors: 1 3 7 11 19 21 31 33 57 77 93 121 133 209 217 231 341 363 399 589 627 651 847 1023 1463 1767 2299 2387 2541 3751 4123 4389 6479 6897 7161 11253 12369 16093 19437 23029 26257 45353 48279 69087 71269 78771 136059 161203 213807 253319 437551 483609 498883 713899 759957 1312653 1496649 1773233 2141697 2786509 3062857 4813061 4997293 5319699 7852889 8359527 9188571 13564081 14439183 14991879 19505563 23558667 33691427 40692243 52943671 54970223 58516689 86381779 94948567 101074281 149204891 158831013 164910669 259145337 284845701 370605697 447614673 604672453 1044434237 1111817091 1641253801 1814017359 3133302711 4923761403 11488776607 34466329821