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2354008981284 = 22322557132
BaseRepresentation
bin100010010000010101110…
…111100111111100100100
322100001002221012101210100
4202100111313213330210
5302032002244400114
65001230010024100
7332033352124302
oct42202567477444
98301087171710
102354008981284
11828369779104
12320280a18030
13140c9c87a36c
1481d12933272
1541376e7c909
hex22415de7f24

2354008981284 has 27 divisors (see below), whose sum is σ = 5950434861553. Its totient is φ = 784666591872.

The previous prime is 2354008981277. The next prime is 2354008981307. The reversal of 2354008981284 is 4821898004532.

The square root of 2354008981284 is 1534278.

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

2354008981284 is a `hidden beast` number, since 2 + 3 + 5 + 400 + 89 + 81 + 2 + 84 = 666.

2354008981284 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2255493348900 + 98515632384 = 1501830^2 + 313872^2 .

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 2354008981284.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9077812 + ... + 9333524.

Almost surely, 22354008981284 is an apocalyptic number.

2354008981284 is the 1534278-th square number.

It is an amenable number.

2354008981284 is an abundant number, since it is smaller than the sum of its proper divisors (3596425880269).

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

2354008981284 is an frugal number, since it uses more digits than its factorization.

2354008981284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511436 (or 255718 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 2354008981284 in words is "two trillion, three hundred fifty-four billion, eight million, nine hundred eighty-one thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 255713 511426 767139 1022852 1534278 2301417 3068556 4602834 9205668 65389138369 130778276738 196167415107 261556553476 392334830214 588502245321 784669660428 1177004490642 2354008981284