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451610000049 = 3132193711311213
BaseRepresentation
bin1101001001001100000…
…11011011101010110001
31121011200110220000111010
412210212003123222301
524344344130000144
6543244453341133
744425213443315
oct6444603335261
91534613800433
10451610000049
111645880872aa
12736373377a9
1333781b05700
1417c0266bb45
15bb327b55b9
hex69260dbab1

451610000049 has 96 divisors (see below), whose sum is σ = 711197262720. Its totient is φ = 253881298944.

The previous prime is 451609999991. The next prime is 451610000053. The reversal of 451610000049 is 940000016154.

It is a happy number.

It is not a de Polignac number, because 451610000049 - 28 = 451609999793 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 451609999980 and 451610000025.

It is not an unprimeable number, because it can be changed into a prime (451610000099) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40269967 + ... + 40281179.

It is an arithmetic number, because the mean of its divisors is an integer number (7408304820).

Almost surely, 2451610000049 is an apocalyptic number.

It is an amenable number.

451610000049 is a deficient number, since it is larger than the sum of its proper divisors (259587262671).

451610000049 is a wasteful number, since it uses less digits than its factorization.

451610000049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11411 (or 11398 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The spelling of 451610000049 in words is "four hundred fifty-one billion, six hundred ten million, forty-nine", and thus it is an aban number.

Divisors: 1 3 13 19 37 39 57 111 113 169 247 339 481 507 703 741 1443 1469 2109 2147 3211 4181 4407 6253 6441 9139 9633 11213 12543 18759 19097 27417 27911 33639 54353 57291 79439 83733 118807 145769 163059 213047 238317 356421 362843 414881 437307 639141 706589 1032707 1088529 1244643 1267069 1894997 2119767 2769611 3098121 3801207 5393453 5684991 7882739 8308833 13425191 16180359 16471897 23648217 24074311 36004943 40275573 46881553 49415691 70114889 72222933 102475607 108014829 140644659 210344667 214134661 307426821 312966043 609460189 642403983 890749507 938898129 1332182891 1828380567 2672248521 3996548673 4068558559 7922982457 11579743591 12205675677 23768947371 34739230773 150536666683 451610000049