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6493634568 = 23361765497
BaseRepresentation
bin1100000110000110…
…10000000000001000
3121202112220211000000
412003003100000020
5101244332301233
62552205043000
7316626661131
oct60303200010
917675824000
106493634568
11283253a843
121312856460
137c6432725
144585c8c88
15280144d13
hex1830d0008

6493634568 has 112 divisors (see below), whose sum is σ = 19329114780. Its totient is φ = 2037187584.

The previous prime is 6493634549. The next prime is 6493634593. The reversal of 6493634568 is 8654363946.

6493634568 is a `hidden beast` number, since 6 + 49 + 3 + 6 + 34 + 568 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6361338564 + 132296004 = 79758^2 + 11502^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 66396 + ... + 131892.

Almost surely, 26493634568 is an apocalyptic number.

6493634568 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6493634568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9664557390).

6493634568 is an abundant number, since it is smaller than the sum of its proper divisors (12835480212).

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

6493634568 is a wasteful number, since it uses less digits than its factorization.

6493634568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65538 (or 65519 counting only the distinct ones).

The product of its digits is 11197440, while the sum is 54.

The square root of 6493634568 is about 80583.0910799530. The cubic root of 6493634568 is about 1865.6461731291.

The spelling of 6493634568 in words is "six billion, four hundred ninety-three million, six hundred thirty-four thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 81 102 108 136 153 162 204 216 243 306 324 408 459 486 612 648 729 918 972 1224 1377 1458 1836 1944 2754 2916 3672 4131 5508 5832 8262 11016 12393 16524 24786 33048 49572 65497 99144 130994 196491 261988 392982 523976 589473 785964 1113449 1178946 1571928 1768419 2226898 2357892 3340347 3536838 4453796 4715784 5305257 6680694 7073676 8907592 10021041 10610514 13361388 14147352 15915771 20042082 21221028 26722776 30063123 31831542 40084164 42442056 47747313 60126246 63663084 80168328 90189369 95494626 120252492 127326168 180378738 190989252 240504984 270568107 360757476 381978504 541136214 721514952 811704321 1082272428 1623408642 2164544856 3246817284 6493634568