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11041007120624 = 24137113116933371
BaseRepresentation
bin1010000010101010111101…
…0011101011000011110000
31110002111202202210020120202
42200222233103223003300
52421343440310324444
635252100232254332
72216454310023005
oct240525723530360
943074682706522
1011041007120624
113577512754648
1212a39a2b413a8
13621216037880
142a255d7c58ac
151423067cc34e
hexa0aaf4eb0f0

11041007120624 has 160 divisors (see below), whose sum is σ = 23561184987648. Its totient is φ = 4981302144000.

The previous prime is 11041007120623. The next prime is 11041007120677. The reversal of 11041007120624 is 42602170014011.

It is a happy number.

It is a super-2 number, since 2×110410071206242 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11041007120623) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3275289659 + ... + 3275293029.

Almost surely, 211041007120624 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 11041007120624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11780592493824).

11041007120624 is an abundant number, since it is smaller than the sum of its proper divisors (12520177867024).

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

11041007120624 is a wasteful number, since it uses less digits than its factorization.

11041007120624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5287 (or 5281 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

Adding to 11041007120624 its reverse (42602170014011), we get a palindrome (53643177134635).

The spelling of 11041007120624 in words is "eleven trillion, forty-one billion, seven million, one hundred twenty thousand, six hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 52 71 104 131 142 208 262 284 524 568 923 1048 1136 1693 1703 1846 2096 3371 3386 3406 3692 6742 6772 6812 7384 9301 13484 13544 13624 14768 18602 22009 26968 27088 27248 37204 43823 44018 53936 74408 87646 88036 120203 120913 148816 175292 176072 221783 239341 240406 241826 350584 352144 441601 443566 478682 480812 483652 701168 883202 887132 957364 961624 967304 1562639 1766404 1774264 1914728 1923248 1934608 2883179 3111433 3125278 3532808 3548528 3829456 5707103 5740813 5766358 6222866 6250556 7065616 11414206 11481626 11532716 12445732 12501112 15746593 22828412 22963252 23065432 24891464 25002224 31353671 31493186 45656824 45926504 46130864 49782928 62707342 62986372 74192339 91313648 91853008 125414684 125972744 148384678 204705709 250829368 251945488 296769356 405204313 407597723 409411418 501658736 593538712 747630493 810408626 815195446 818822836 1187077424 1495260986 1620817252 1630390892 1637645672 2990521972 3241634504 3260781784 3275291344 5267656069 5981043944 6483269008 6521563568 9719196409 10535312138 11962087888 19438392818 21070624276 38876785636 42141248552 53081765003 77753571272 84282497104 106163530006 155507142544 212327060012 424654120024 690062945039 849308240048 1380125890078 2760251780156 5520503560312 11041007120624