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12057369258 = 231119231073907
BaseRepresentation
bin10110011101010110…
…01101101010101010
31011010022001211011210
423032223031222222
5144143141304013
65312235133550
7604535643024
oct131653155252
934108054153
1012057369258
115128085a90
122405ba42b6
1311a200022c
148254b3014
154a8803cc3
hex2ceacdaaa

12057369258 has 128 divisors (see below), whose sum is σ = 29173063680. Its totient is φ = 3279165120.

The previous prime is 12057369241. The next prime is 12057369263. The reversal of 12057369258 is 85296375021.

It is a super-4 number, since 4×120573692584 (a number of 41 digits) contains 4444 as substring.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 3084141 + ... + 3088047.

It is an arithmetic number, because the mean of its divisors is an integer number (227914560).

Almost surely, 212057369258 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12057369258, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14586531840).

12057369258 is an abundant number, since it is smaller than the sum of its proper divisors (17115694422).

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

12057369258 is a wasteful number, since it uses less digits than its factorization.

12057369258 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4072.

The product of its (nonzero) digits is 907200, while the sum is 48.

The spelling of 12057369258 in words is "twelve billion, fifty-seven million, three hundred sixty-nine thousand, two hundred fifty-eight".

Divisors: 1 2 3 6 11 19 22 23 33 38 46 57 66 69 107 114 138 209 214 253 321 418 437 506 627 642 759 874 1177 1254 1311 1518 2033 2354 2461 2622 3531 3907 4066 4807 4922 6099 7062 7383 7814 9614 11721 12198 14421 14766 22363 23442 27071 28842 42977 44726 46759 54142 67089 74233 81213 85954 89861 93518 128931 134178 140277 148466 162426 179722 222699 257862 269583 280554 418049 445398 514349 539166 816563 836098 988471 1028698 1254147 1543047 1633126 1707359 1976942 2449689 2508294 2965413 3086094 3414718 4598539 4899378 5122077 5930826 7942931 9197078 9615127 10244154 13795617 15885862 18780949 19230254 23828793 27591234 28845381 37561898 47657586 56342847 57690762 87372241 105766397 112685694 174744482 182687413 211532794 262116723 317299191 365374826 524233446 548062239 634598382 1096124478 2009561543 4019123086 6028684629 12057369258