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470873125872 = 2432151132716319
BaseRepresentation
bin1101101101000100011…
…10011011001111110000
31200000101221212012101200
412312202032123033300
530203322010011442
61000152141131200
746006450350102
oct6664216331760
91600357765350
10470873125872
111717726708a6
1277312559b00
1335531930106
1418b0cb3b572
15c3ad9c834c
hex6da239b3f0

470873125872 has 120 divisors (see below), whose sum is σ = 1327598837760. Its totient is φ = 155791209600.

The previous prime is 470873125841. The next prime is 470873125883. The reversal of 470873125872 is 278521378074.

470873125872 is a `hidden beast` number, since 47 + 0 + 8 + 7 + 3 + 12 + 587 + 2 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28846129 + ... + 28862447.

It is an arithmetic number, because the mean of its divisors is an integer number (11063323648).

Almost surely, 2470873125872 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 470873125872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663799418880).

470873125872 is an abundant number, since it is smaller than the sum of its proper divisors (856725711888).

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

470873125872 is a wasteful number, since it uses less digits than its factorization.

470873125872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17811 (or 17802 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 54.

The spelling of 470873125872 in words is "four hundred seventy billion, eight hundred seventy-three million, one hundred twenty-five thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 151 302 453 604 906 1208 1327 1359 1812 2416 2654 2718 3624 3981 5308 5436 7248 7962 10616 10872 11943 15924 16319 21232 21744 23886 31848 32638 47772 48957 63696 65276 95544 97914 130552 146871 191088 195828 200377 261104 293742 391656 400754 587484 601131 783312 801508 1174968 1202262 1603016 1803393 2349936 2404524 2464169 3206032 3606786 4809048 4928338 7213572 7392507 9618096 9856676 14427144 14785014 19713352 21655313 22177521 28854288 29570028 39426704 43310626 44355042 59140056 64965939 86621252 88710084 118280112 129931878 173242504 177420168 194897817 259863756 346485008 354840336 389795634 519727512 779591268 1039455024 1559182536 3118365072 3269952263 6539904526 9809856789 13079809052 19619713578 26159618104 29429570367 39239427156 52319236208 58859140734 78478854312 117718281468 156957708624 235436562936 470873125872