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10413400407368 = 237617274193149
BaseRepresentation
bin1001011110001000111100…
…0010000011110101001000
31100212111210210000211221012
42113202033002003311020
52331103121001013433
634051503342303052
72123225525002340
oct227421702036510
940774723024835
1010413400407368
113355331064852
12120222a887a88
135a6c96ac039a
14280022cc9d20
15130d22ed2848
hex9788f083d48

10413400407368 has 64 divisors (see below), whose sum is σ = 22711442208000. Its totient is φ = 4383684645120.

The previous prime is 10413400407317. The next prime is 10413400407391. The reversal of 10413400407368 is 86370400431401.

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 15 ways as a sum of consecutive naturals, for example, 386858 + ... + 4580006.

It is an arithmetic number, because the mean of its divisors is an integer number (354866284500).

Almost surely, 210413400407368 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 10413400407368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11355721104000).

10413400407368 is an abundant number, since it is smaller than the sum of its proper divisors (12298041800632).

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

10413400407368 is a wasteful number, since it uses less digits than its factorization.

10413400407368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4193950 (or 4193946 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 41.

Adding to 10413400407368 its reverse (86370400431401), we get a palindrome (96783800838769).

The spelling of 10413400407368 in words is "ten trillion, four hundred thirteen billion, four hundred million, four hundred seven thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 28 56 61 122 244 427 488 727 854 1454 1708 2908 3416 5089 5816 10178 20356 40712 44347 88694 177388 310429 354776 620858 1241716 2483432 4193149 8386298 16772596 29352043 33545192 58704086 117408172 234816344 255782089 511564178 1023128356 1790474623 2046256712 3048419323 3580949246 6096838646 7161898492 12193677292 14323796984 21338935261 24387354584 42677870522 85355741044 170711482088 185953578703 371907157406 743814314812 1301675050921 1487628629624 2603350101842 5206700203684 10413400407368