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10474670336 = 28136015237
BaseRepresentation
bin10011100000101011…
…01100100100000000
31000000222221101102012
421300111230210000
5132423003422321
64451220312052
7520400141324
oct116025544400
930028841365
1010474670336
114495750949
122043b42628
13cac1442b0
14715203984
154148c105b
hex27056c900

10474670336 has 72 divisors (see below), whose sum is σ = 22558536504. Its totient is φ = 4825497600.

The previous prime is 10474670329. The next prime is 10474670347. The reversal of 10474670336 is 63307647401.

It can be written as a sum of positive squares in 4 ways, for example, as 3171942400 + 7302727936 = 56320^2 + 85456^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10474670293 and 10474670302.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1997510 + ... + 2002746.

It is an arithmetic number, because the mean of its divisors is an integer number (313313007).

Almost surely, 210474670336 is an apocalyptic number.

10474670336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10474670336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11279268252).

10474670336 is an abundant number, since it is smaller than the sum of its proper divisors (12083866168).

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

10474670336 is an equidigital number, since it uses as much as digits as its factorization.

10474670336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5867 (or 5853 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 41.

It can be divided in two parts, 10474 and 670336, that multiplied together give a square (7021099264 = 837922).

The spelling of 10474670336 in words is "ten billion, four hundred seventy-four million, six hundred seventy thousand, three hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 601 832 1202 1664 2404 3328 4808 5237 7813 9616 10474 15626 19232 20948 31252 38464 41896 62504 68081 76928 83792 125008 136162 153856 167584 250016 272324 335168 500032 544648 670336 1000064 1089296 1340672 2000128 2178592 3147437 4357184 6294874 8714368 12589748 17428736 25179496 40916681 50358992 81833362 100717984 163666724 201435968 327333448 402871936 654666896 805743872 1309333792 2618667584 5237335168 10474670336