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2428943022288 = 243284629199313
BaseRepresentation
bin100011010110001000010…
…010010011100011010000
322121012112012211002111100
4203112020102103203100
5304243433403203123
65055501354344400
7340325321015166
oct43261022234320
98535465732440
102428943022288
11857122017212
123328b412b100
1314808229b1b3
14857c095b236
15432b0816643
hex235884938d0

2428943022288 has 60 divisors (see below), whose sum is σ = 6797781359460. Its totient is φ = 809634044928.

The previous prime is 2428943022197. The next prime is 2428943022293. The reversal of 2428943022288 is 8822203498242.

2428943022288 is a `hidden beast` number, since 2 + 4 + 28 + 94 + 302 + 228 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2115244454544 + 313698567744 = 1454388^2 + 560088^2 .

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, 12086920 + ... + 12286232.

It is an arithmetic number, because the mean of its divisors is an integer number (113296355991).

Almost surely, 22428943022288 is an apocalyptic number.

It is an amenable number.

2428943022288 is an abundant number, since it is smaller than the sum of its proper divisors (4368838337172).

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

2428943022288 is a wasteful number, since it uses less digits than its factorization.

2428943022288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283956 (or 283947 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 2428943022288 in words is "two trillion, four hundred twenty-eight billion, nine hundred forty-three million, twenty-two thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 84629 169258 199313 253887 338516 398626 507774 597939 677032 761661 797252 1015548 1195878 1354064 1523322 1594504 1793817 2031096 2391756 3046644 3189008 3587634 4062192 4783512 6093288 7175268 9567024 12186576 14350536 28701072 16867659877 33735319754 50602979631 67470639508 101205959262 134941279016 151808938893 202411918524 269882558032 303617877786 404823837048 607235755572 809647674096 1214471511144 2428943022288