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84391412004 = 2234161392
BaseRepresentation
bin100111010011000011…
…1101100000100100100
322001211101022220210000
41032212013230010210
52340313200141004
6102434024501300
76045204111024
oct1164607540444
9261741286700
1084391412004
113287682a9a9
121443261a830
137c5bb7bb63
144128099a84
1522ddcacc39
hex13a61ec124

84391412004 has 45 divisors (see below), whose sum is σ = 220629491467. Its totient is φ = 28128727656.

The previous prime is 84391411963. The next prime is 84391412033. The reversal of 84391412004 is 40021419348.

It is a happy number.

The square root of 84391412004 is 290502.

It is a perfect power (a square), and thus also a powerful number.

84391412004 is a `hidden beast` number, since 8 + 439 + 14 + 1 + 200 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 84391412004.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 5220967 + ... + 5237105.

Almost surely, 284391412004 is an apocalyptic number.

84391412004 is the 290502-nd square number.

It is an amenable number.

84391412004 is an abundant number, since it is smaller than the sum of its proper divisors (136238079463).

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

84391412004 is an frugal number, since it uses more digits than its factorization.

84391412004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32294 (or 16144 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

Multiplying 84391412004 by its sum of digits (36), we get a square (3038090832144 = 17430122).

84391412004 divided by its sum of digits (36) gives a square (2344205889 = 484172).

The spelling of 84391412004 in words is "eighty-four billion, three hundred ninety-one million, four hundred twelve thousand, four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 16139 32278 48417 64556 96834 145251 193668 290502 435753 581004 871506 1307259 1743012 2614518 5229036 260467321 520934642 781401963 1041869284 1562803926 2344205889 3125607852 4688411778 7032617667 9376823556 14065235334 21097853001 28130470668 42195706002 84391412004