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475799575040 = 295415344753
BaseRepresentation
bin1101110110001111101…
…11010101101000000000
31200111010021211202011222
412323013313111220000
530243414142400130
61002325044054212
746242520441466
oct6730767255000
91614107752158
10475799575040
11173870501a99
1278268394368
1335b38478baa
1419059134836
15c59b251ce5
hex6ec7dd5a00

475799575040 has 80 divisors (see below), whose sum is σ = 1141104016008. Its totient is φ = 190269751296.

The previous prime is 475799575037. The next prime is 475799575057. The reversal of 475799575040 is 40575997574.

It can be written as a sum of positive squares in 4 ways, for example, as 190780262656 + 285019312384 = 436784^2 + 533872^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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, 10609304 + ... + 10654056.

Almost surely, 2475799575040 is an apocalyptic number.

475799575040 is a gapful number since it is divisible by the number (40) 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 475799575040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570552008004).

475799575040 is an abundant number, since it is smaller than the sum of its proper divisors (665304440968).

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

475799575040 is an equidigital number, since it uses as much as digits as its factorization.

475799575040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48929 (or 48913 counting only the distinct ones).

The product of its (nonzero) digits is 55566000, while the sum is 62.

The spelling of 475799575040 in words is "four hundred seventy-five billion, seven hundred ninety-nine million, five hundred seventy-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 2560 4153 8306 16612 20765 33224 41530 44753 66448 83060 89506 132896 166120 179012 223765 265792 332240 358024 447530 531584 664480 716048 895060 1063168 1328960 1432096 1790120 2126336 2657920 2864192 3580240 5315840 5728384 7160480 10631680 11456768 14320960 22913536 28641920 57283840 114567680 185859209 371718418 743436836 929296045 1486873672 1858592090 2973747344 3717184180 5947494688 7434368360 11894989376 14868736720 23789978752 29737473440 47579957504 59474946880 95159915008 118949893760 237899787520 475799575040