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10274146868360 = 2359723331135009
BaseRepresentation
bin1001010110000010001011…
…0111111101110010001000
31100101012100221221010011102
42111200202313331302020
52321312423044241420
633503513343520532
72110165636312214
oct225404267756210
940335327833142
1010274146868360
113301272073921
12119b246bb9148
13596b03a870ab
142773b288b944
1512c3c2aaea75
hex95822dfdc88

10274146868360 has 64 divisors (see below), whose sum is σ = 23365179658800. Its totient is φ = 4065544175616.

The previous prime is 10274146868357. The next prime is 10274146868371. The reversal of 10274146868360 is 6386864147201.

It can be written as a sum of positive squares in 8 ways, for example, as 7039969050436 + 3234177817924 = 2653294^2 + 1798382^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10274146868296 and 10274146868305.

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, 8484536 + ... + 9619544.

Almost surely, 210274146868360 is an apocalyptic number.

10274146868360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10274146868360 is an abundant number, since it is smaller than the sum of its proper divisors (13091032790440).

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

10274146868360 is a wasteful number, since it uses less digits than its factorization.

10274146868360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1137450 (or 1137446 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 56.

The spelling of 10274146868360 in words is "ten trillion, two hundred seventy-four billion, one hundred forty-six million, eight hundred sixty-eight thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 97 194 388 485 776 970 1940 2333 3880 4666 9332 11665 18664 23330 46660 93320 226301 452602 905204 1131505 1135009 1810408 2263010 2270018 4526020 4540036 5675045 9052040 9080072 11350090 22700180 45400360 110095873 220191746 440383492 550479365 880766984 1100958730 2201917460 2647975997 4403834920 5295951994 10591903988 13239879985 21183807976 26479759970 52959519940 105919039880 256853671709 513707343418 1027414686836 1284268358545 2054829373672 2568536717090 5137073434180 10274146868360