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428174626471824 = 24379112915249597
BaseRepresentation
bin110000101011011000010110…
…0100000110011111110010000
32002011001002112220121221000110
41201112300230200303332100
5422110203113334044244
64114352412524321320
7156121411253336631
oct14126605440637620
92064032486557013
10428174626471824
1111447a926176871
12400331400a3240
13154bb903a080bb
1477a3a96409888
153477c109e69b9
hex1856c2c833f90

428174626471824 has 40 divisors (see below), whose sum is σ = 1120119276012160. Its totient is φ = 140918231495808.

The previous prime is 428174626471783. The next prime is 428174626471981.

It is a happy number.

428174626471824 is nontrivially palindromic in base 10.

It is a super-4 number, since 4×4281746264718244 (a number of 60 digits) contains 4444 as substring.

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, 56457621007 + ... + 56457628590.

It is an arithmetic number, because the mean of its divisors is an integer number (28002981900304).

Almost surely, 2428174626471824 is an apocalyptic number.

It is an amenable number.

428174626471824 is an abundant number, since it is smaller than the sum of its proper divisors (691944649540336).

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

428174626471824 is a wasteful number, since it uses less digits than its factorization.

428174626471824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112915249687 (or 112915249681 counting only the distinct ones).

The product of its digits is 231211008, while the sum is 66.

The spelling of 428174626471824 in words is "four hundred twenty-eight trillion, one hundred seventy-four billion, six hundred twenty-six million, four hundred seventy-one thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 79 158 237 316 474 632 948 1264 1896 3792 112915249597 225830499194 338745748791 451660998388 677491497582 903321996776 1354982995164 1806643993552 2709965990328 5419931980656 8920304718163 17840609436326 26760914154489 35681218872652 53521828308978 71362437745304 107043656617956 142724875490608 214087313235912 428174626471824