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12364332413024 = 256171101388069
BaseRepresentation
bin1011001111101100101110…
…1001000011000001100000
31121210000111120210022200102
42303323023221003001200
53110034123044204044
642144032414041532
72414202453304334
oct263731351030140
947700446708612
1012364332413024
113a37758345199
121478359aa92a8
136b8c4a706277
1430a618b377c4
1516695836a24e
hexb3ecba43060

12364332413024 has 96 divisors (see below), whose sum is σ = 25114855671360. Its totient is φ = 5989187635200.

The previous prime is 12364332413003. The next prime is 12364332413053. The reversal of 12364332413024 is 42031423346321.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140349662 + ... + 140437730.

It is an arithmetic number, because the mean of its divisors is an integer number (261613079910).

Almost surely, 212364332413024 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 12364332413024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12557427835680).

12364332413024 is an abundant number, since it is smaller than the sum of its proper divisors (12750523258336).

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

12364332413024 is a wasteful number, since it uses less digits than its factorization.

12364332413024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89224 (or 89216 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 38.

Adding to 12364332413024 its reverse (42031423346321), we get a palindrome (54395755759345).

The spelling of 12364332413024 in words is "twelve trillion, three hundred sixty-four billion, three hundred thirty-two million, four hundred thirteen thousand, twenty-four".

Divisors: 1 2 4 8 16 32 61 71 122 142 244 284 488 568 976 1013 1136 1952 2026 2272 4052 4331 8104 8662 16208 17324 32416 34648 61793 69296 71923 88069 123586 138592 143846 176138 247172 287692 352276 494344 575384 704552 988688 1150768 1409104 1977376 2301536 2818208 4387303 5372209 6252899 8774606 10744418 12505798 17549212 21488836 25011596 35098424 42977672 50023192 70196848 85955344 89213897 100046384 140393696 171910688 178427794 200092768 356855588 381426839 713711176 762853678 1427422352 1525707356 2854844704 3051414712 5442047717 6102829424 6334186687 10884095434 12205658848 12668373374 21768190868 25336746748 43536381736 50673493496 87072763472 101346986992 174145526944 202693973984 386385387907 772770775814 1545541551628 3091083103256 6182166206512 12364332413024