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1068644538 = 232132328997
BaseRepresentation
bin111111101100100…
…011100010111010
32202110211202201100
4333230203202322
54142033111123
6254012432230
735324220513
oct7754434272
92673752640
101068644538
114a9249505
12259a78676
13140522a60
14a1cd9a0a
1563c40643
hex3fb238ba

1068644538 has 144 divisors (see below), whose sum is σ = 2663093160. Its totient is φ = 307777536.

The previous prime is 1068644537. The next prime is 1068644579. The reversal of 1068644538 is 8354468601.

1068644538 is a `hidden beast` number, since 10 + 68 + 6 + 44 + 538 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 540702009 + 527942529 = 23253^2 + 22977^2 .

It is a super-2 number, since 2×10686445382 = 2284002297194466888, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1068644493 and 1068644502.

It is not an unprimeable number, because it can be changed into a prime (1068644537) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11016906 + ... + 11017002.

Almost surely, 21068644538 is an apocalyptic number.

1068644538 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1068644538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1331546580).

1068644538 is an abundant number, since it is smaller than the sum of its proper divisors (1594448622).

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

1068644538 is a wasteful number, since it uses less digits than its factorization.

1068644538 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 227 counting only the distinct ones).

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

The square root of 1068644538 is about 32690.1290606201. The cubic root of 1068644538 is about 1022.3770455311.

The spelling of 1068644538 in words is "one billion, sixty-eight million, six hundred forty-four thousand, five hundred thirty-eight".

Divisors: 1 2 3 6 9 13 18 23 26 39 46 69 78 89 97 117 138 178 194 207 234 267 291 299 414 529 534 582 598 801 873 897 1058 1157 1261 1587 1602 1746 1794 2047 2231 2314 2522 2691 3174 3471 3783 4094 4462 4761 5382 6141 6693 6877 6942 7566 8633 9522 10413 11349 12282 13386 13754 17266 18423 20079 20631 20826 22698 25899 26611 29003 36846 40158 41262 47081 51313 51798 53222 58006 61893 77697 79833 87009 94162 102626 112229 123786 141243 153939 155394 159666 174018 198559 224458 239499 261027 282486 307878 336687 397118 423729 461817 478998 522054 595677 612053 667069 673374 847458 923634 1010061 1191354 1224106 1334138 1787031 1836159 2001207 2020122 2581267 3574062 3672318 4002414 4566857 5162534 5508477 6003621 7743801 9133714 11016954 12007242 13700571 15487602 23231403 27401142 41101713 46462806 59369141 82203426 118738282 178107423 356214846 534322269 1068644538