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11324013612024 = 23343791271093679
BaseRepresentation
bin1010010011001001001111…
…0011110000101111111000
31111002120020222102120221110
42210302103303300233320
52441013034441041044
640030102515440320
72246063420351451
oct244622363605770
944076228376843
1011324013612024
11367653a516363
12132a8052b60a0
13641b08306939
142b2129a58128
1514986c1476b9
hexa4c93cf0bf8

11324013612024 has 128 divisors (see below), whose sum is σ = 29566107648000. Its totient is φ = 3611552241024.

The previous prime is 11324013612011. The next prime is 11324013612031. The reversal of 11324013612024 is 42021631042311.

It is a junction number, because it is equal to n+sod(n) for n = 11324013611982 and 11324013612000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9807217 + ... + 10900895.

It is an arithmetic number, because the mean of its divisors is an integer number (230985216000).

Almost surely, 211324013612024 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 11324013612024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14783053824000).

11324013612024 is an abundant number, since it is smaller than the sum of its proper divisors (18242094035976).

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

11324013612024 is a wasteful number, since it uses less digits than its factorization.

11324013612024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1093937 (or 1093933 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 11324013612024 its reverse (42021631042311), we get a palindrome (53345644654335).

The spelling of 11324013612024 in words is "eleven trillion, three hundred twenty-four billion, thirteen million, six hundred twelve thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 24 43 79 86 127 129 158 172 237 254 258 316 344 381 474 508 516 632 762 948 1016 1032 1524 1896 3048 3397 5461 6794 10033 10191 10922 13588 16383 20066 20382 21844 27176 30099 32766 40132 40764 43688 60198 65532 80264 81528 120396 131064 240792 431419 862838 1093679 1294257 1725676 2187358 2588514 3281037 3451352 4374716 5177028 6562074 8749432 10354056 13124148 26248296 47028197 86400641 94056394 138897233 141084591 172801282 188112788 259201923 277794466 282169182 345602564 376225576 416691699 518403846 555588932 564338364 691205128 833383398 1036807692 1111177864 1128676728 1666766796 2073615384 3333533592 3715227563 5972581019 7430455126 10972881407 11145682689 11945162038 14860910252 17917743057 21945762814 22291365378 23890324076 29721820504 32918644221 35835486114 43891525628 44582730756 47780648152 65837288442 71670972228 87783051256 89165461512 131674576884 143341944456 263349153768 471833900501 943667801002 1415501701503 1887335602004 2831003403006 3774671204008 5662006806012 11324013612024