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1263733068 = 2231323569619
BaseRepresentation
bin100101101010011…
…0000100101001100
310021001221021212110
41023110300211030
510042003424233
6325222104020
743213360653
oct11324604514
93231837773
101263733068
115993873a4
122b327b010
13171a7a660
14bdba019a
1575e29663
hex4b53094c

1263733068 has 96 divisors (see below), whose sum is σ = 3324787200. Its totient is φ = 370681344.

The previous prime is 1263733067. The next prime is 1263733069. The reversal of 1263733068 is 8603373621.

It is an interprime number because it is at equal distance from previous prime (1263733067) and next prime (1263733069).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (1263733067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2041263 + ... + 2041881.

It is an arithmetic number, because the mean of its divisors is an integer number (34633200).

Almost surely, 21263733068 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 1263733068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1662393600).

1263733068 is an abundant number, since it is smaller than the sum of its proper divisors (2061054132).

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

1263733068 is a wasteful number, since it uses less digits than its factorization.

1263733068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1231 (or 1229 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 39.

The square root of 1263733068 is about 35549.0234465027. The cubic root of 1263733068 is about 1081.1479186909.

The spelling of 1263733068 in words is "one billion, two hundred sixty-three million, seven hundred thirty-three thousand, sixty-eight".

Divisors: 1 2 3 4 6 12 13 23 26 39 46 52 69 78 92 138 156 276 299 569 598 619 897 1138 1196 1238 1707 1794 1857 2276 2476 3414 3588 3714 6828 7397 7428 8047 13087 14237 14794 16094 22191 24141 26174 28474 29588 32188 39261 42711 44382 48282 52348 56948 78522 85422 88764 96564 157044 170131 170844 185081 340262 352211 370162 510393 555243 680524 704422 740324 1020786 1056633 1110486 1408844 2041572 2113266 2220972 4226532 4578743 8100853 9157486 13736229 16201706 18314972 24302559 27472458 32403412 48605118 54944916 97210236 105311089 210622178 315933267 421244356 631866534 1263733068