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2742219648 = 27327340057
BaseRepresentation
bin1010001101110010…
…1111001110000000
321002002222012011200
42203130233032000
521104002012043
61132035141200
7124645324320
oct24334571600
97062865150
102742219648
111187a03233
12646444800
1334917969c
141c02a3280
15110b247d3
hexa372f380

2742219648 has 96 divisors (see below), whose sum is σ = 9018338160. Its totient is φ = 783489024.

The previous prime is 2742219583. The next prime is 2742219679. The reversal of 2742219648 is 8469122472.

It is a tau number, because it is divible by the number of its divisors (96).

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

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, 161965 + ... + 178092.

Almost surely, 22742219648 is an apocalyptic number.

2742219648 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2742219648 is an abundant number, since it is smaller than the sum of its proper divisors (6276118512).

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

2742219648 is a wasteful number, since it uses less digits than its factorization.

2742219648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340084 (or 340069 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 2742219648 is about 52366.2071187135. The cubic root of 2742219648 is about 1399.6971535409.

The spelling of 2742219648 in words is "two billion, seven hundred forty-two million, two hundred nineteen thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 288 336 384 448 504 576 672 896 1008 1152 1344 2016 2688 4032 8064 340057 680114 1020171 1360228 2040342 2380399 2720456 3060513 4080684 4760798 5440912 6121026 7141197 8161368 9521596 10881824 12242052 14282394 16322736 19043192 21423591 21763648 24484104 28564788 32645472 38086384 42847182 43527296 48968208 57129576 65290944 76172768 85694364 97936416 114259152 130581888 152345536 171388728 195872832 228518304 304691072 342777456 391745664 457036608 685554912 914073216 1371109824 2742219648