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44284662864 = 24321323656337
BaseRepresentation
bin101001001111100100…
…100101010001010000
311020022021101221222200
4221033210211101100
51211143333202424
632202154003200
73125262265161
oct511744452120
9136267357880
1044284662864
11178655a0732
1286baa16500
134239961b30
142201661768
151242c3b8c9
hexa4f925450

44284662864 has 60 divisors (see below), whose sum is σ = 133469058996. Its totient is φ = 13626049536.

The previous prime is 44284662859. The next prime is 44284662931. The reversal of 44284662864 is 46826648244.

44284662864 is a `hidden beast` number, since 4 + 4 + 2 + 8 + 4 + 6 + 628 + 6 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 17316454464 + 26968208400 = 131592^2 + 164220^2 .

It is a super-2 number, since 2×442846628642 (a number of 22 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 44284662864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11826297 + ... + 11830040.

Almost surely, 244284662864 is an apocalyptic number.

It is an amenable number.

44284662864 is an abundant number, since it is smaller than the sum of its proper divisors (89184396132).

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

44284662864 is a wasteful number, since it uses less digits than its factorization.

44284662864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23656364 (or 23656355 counting only the distinct ones).

The product of its digits is 14155776, while the sum is 54.

The spelling of 44284662864 in words is "forty-four billion, two hundred eighty-four million, six hundred sixty-two thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 23656337 47312674 70969011 94625348 141938022 189250696 212907033 283876044 307532381 378501392 425814066 567752088 615064762 851628132 922597143 1135504176 1230129524 1703256264 1845194286 2460259048 2767791429 3406512528 3690388572 4920518096 5535582858 7380777144 11071165716 14761554288 22142331432 44284662864