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6450348681 = 337261257311
BaseRepresentation
bin1100000000111100…
…01000001010001001
3121122112110122221000
412000132020022021
5101202242124211
62544021205213
7315563026200
oct60036101211
917575418830
106450348681
112810065487
121300260809
137ba48838a
1445295c237
1527b444656
hex180788289

6450348681 has 96 divisors (see below), whose sum is σ = 11378914560. Its totient is φ = 3599769600.

The previous prime is 6450348679. The next prime is 6450348721. The reversal of 6450348681 is 1868430546.

6450348681 is a `hidden beast` number, since 64 + 503 + 4 + 8 + 6 + 81 = 666.

It is not a de Polignac number, because 6450348681 - 21 = 6450348679 is a prime.

It is a super-2 number, since 2×64503486812 = 83213996212956879522, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (6450340681) 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 95 ways as a sum of consecutive naturals, for example, 20740516 + ... + 20740826.

It is an arithmetic number, because the mean of its divisors is an integer number (118530360).

Almost surely, 26450348681 is an apocalyptic number.

6450348681 is a gapful number since it is divisible by the number (61) formed by its first and last digit.

It is an amenable number.

6450348681 is a deficient number, since it is larger than the sum of its proper divisors (4928565879).

6450348681 is a wasteful number, since it uses less digits than its factorization.

6450348681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 6450348681 is about 80314.0627847950. The cubic root of 6450348681 is about 1861.4915273551.

The spelling of 6450348681 in words is "six billion, four hundred fifty million, three hundred forty-eight thousand, six hundred eighty-one".

Divisors: 1 3 7 9 21 27 49 61 63 147 183 189 257 311 427 441 549 771 933 1281 1323 1647 1799 2177 2313 2799 2989 3843 5397 6531 6939 8397 8967 11529 12593 15239 15677 16191 18971 19593 26901 37779 45717 47031 48573 56913 58779 79927 80703 109739 113337 132797 137151 141093 170739 239781 329217 340011 398391 411453 423279 512217 559489 719343 768173 929579 987651 1195173 1678467 2158029 2304519 2788737 2962953 3585519 3916423 4875547 5035401 6913557 8366211 11749269 14626641 15106203 20740671 25098633 34128829 35247807 43879923 102386487 105743421 131639769 238901803 307159461 716705409 921478383 2150116227 6450348681