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1061518068 = 2233132193061
BaseRepresentation
bin111111010001010…
…111101011110100
32201222102201001000
4333101113223310
54133222034233
6253200003300
735206516602
oct7721275364
92658381030
101061518068
114a5221266
12257600530
1313bbc9100
14a0da2872
15632d3d13
hex3f457af4

1061518068 has 144 divisors (see below), whose sum is σ = 3137937600. Its totient is φ = 309329280.

The previous prime is 1061518067. The next prime is 1061518091. The reversal of 1061518068 is 8608151601.

It is a super-2 number, since 2×10615180682 = 2253641217380905248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1061518061) 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 47 ways as a sum of consecutive naturals, for example, 345258 + ... + 348318.

Almost surely, 21061518068 is an apocalyptic number.

1061518068 is a gapful number since it is divisible by the number (18) 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 1061518068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1568968800).

1061518068 is an abundant number, since it is smaller than the sum of its proper divisors (2076419532).

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

1061518068 is a wasteful number, since it uses less digits than its factorization.

1061518068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3119 (or 3098 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 1061518068 is about 32580.9463950942. The cubic root of 1061518068 is about 1020.0993328867.

Adding to 1061518068 its reverse (8608151601), we get a palindrome (9669669669).

The spelling of 1061518068 in words is "one billion, sixty-one million, five hundred eighteen thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 27 36 38 39 52 54 57 76 78 108 114 117 156 169 171 228 234 247 338 342 351 468 494 507 513 676 684 702 741 988 1014 1026 1404 1482 1521 2028 2052 2223 2964 3042 3061 3211 4446 4563 6084 6122 6422 6669 8892 9126 9183 9633 12244 12844 13338 18252 18366 19266 26676 27549 28899 36732 38532 39793 55098 57798 58159 79586 82647 86697 110196 115596 116318 119379 159172 165294 173394 174477 232636 238758 330588 346788 348954 358137 477516 517309 523431 697908 716274 756067 1034618 1046862 1074411 1432548 1512134 1551927 1570293 2069236 2093724 2148822 2268201 3024268 3103854 3140586 4297644 4536402 4655781 6207708 6281172 6804603 9072804 9311562 9828871 13609206 13967343 18623124 19657742 20413809 27218412 27934686 29486613 39315484 40827618 55869372 58973226 81655236 88459839 117946452 176919678 265379517 353839356 530759034 1061518068