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79473401424 = 2434235726017
BaseRepresentation
bin100101000000011111…
…0111101111001010000
321121010122020002120000
41022000332331321100
52300230142321144
6100302022450000
75512265523534
oct1120076757120
9247118202500
1079473401424
113078273284a
121349b593900
137656cc9021
143bbcc5bbc4
15210214e769
hex1280fbde50

79473401424 has 100 divisors (see below), whose sum is σ = 230125515444. Its totient is φ = 26478876672.

The previous prime is 79473401411. The next prime is 79473401479. The reversal of 79473401424 is 42410437497.

It can be written as a sum of positive squares in 2 ways, for example, as 36817934400 + 42655467024 = 191880^2 + 206532^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 79473401424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3041664 + ... + 3067680.

Almost surely, 279473401424 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 79473401424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115062757722).

79473401424 is an abundant number, since it is smaller than the sum of its proper divisors (150652114020).

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

79473401424 is a wasteful number, since it uses less digits than its factorization.

79473401424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28394 (or 28379 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 79473401424 in words is "seventy-nine billion, four hundred seventy-three million, four hundred one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 2357 4714 7071 9428 14142 18856 21213 26017 28284 37712 42426 52034 56568 63639 78051 84852 104068 113136 127278 156102 169704 190917 208136 234153 254556 312204 339408 381834 416272 468306 509112 624408 702459 763668 936612 1018224 1248816 1404918 1527336 1873224 2107377 2809836 3054672 3746448 4214754 5619672 8429508 11239344 16859016 33718032 61322069 122644138 183966207 245288276 367932414 490576552 551898621 735864828 981153104 1103797242 1471729656 1655695863 2207594484 2943459312 3311391726 4415188968 4967087589 6622783452 8830377936 9934175178 13245566904 19868350356 26491133808 39736700712 79473401424