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5463011136 = 2631124110733
BaseRepresentation
bin1010001011001111…
…01110111101000000
3112002201121201102210
411011213232331000
542142012324021
62302031142120
7252243554112
oct50547567500
915081551383
105463011136
112353800140
121085674940
13690a6288b
1439b7893b2
1521e914e76
hex1459eef40

5463011136 has 112 divisors (see below), whose sum is σ = 15835140288. Its totient is φ = 1648435200.

The previous prime is 5463011111. The next prime is 5463011143. The reversal of 5463011136 is 6311103645.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 503626 + ... + 514358.

Almost surely, 25463011136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5463011136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7917570144).

5463011136 is an abundant number, since it is smaller than the sum of its proper divisors (10372129152).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5463011136 is a wasteful number, since it uses less digits than its factorization.

5463011136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11000 (or 10990 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 5463011136 is about 73912.1853012073. The cubic root of 5463011136 is about 1761.2081855797.

The spelling of 5463011136 in words is "five billion, four hundred sixty-three million, eleven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 241 264 352 482 528 704 723 964 1056 1446 1928 2112 2651 2892 3856 5302 5784 7712 7953 10604 10733 11568 15424 15906 21208 21466 23136 31812 32199 42416 42932 46272 63624 64398 84832 85864 118063 127248 128796 169664 171728 236126 254496 257592 343456 354189 472252 508992 515184 686912 708378 944504 1030368 1416756 1889008 2060736 2586653 2833512 3778016 5173306 5667024 7556032 7759959 10346612 11334048 15519918 20693224 22668096 28453183 31039836 41386448 56906366 62079672 82772896 85359549 113812732 124159344 165545792 170719098 227625464 248318688 341438196 455250928 496637376 682876392 910501856 1365752784 1821003712 2731505568 5463011136