Search a number
-
+
384543452288 = 275929292
BaseRepresentation
bin1011001100010001001…
…00110110110010000000
31100202120111100101120202
411212020210312302000
522300021110433123
6452353512424332
736532226261462
oct5461044666200
91322514311522
10384543452288
111390a1832326
126263a9a80a8
132a354342218
141487d498132
15a0099a0a28
hex5988936c80

384543452288 has 72 divisors (see below), whose sum is σ = 780126934305. Its totient is φ = 188809424896.

The previous prime is 384543452261. The next prime is 384543452327. The reversal of 384543452288 is 882254345483.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 245151736384 + 139391715904 = 495128^2 + 373352^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=438488.

It is a Duffinian number.

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, 413932208 + ... + 413933136.

Almost surely, 2384543452288 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 384543452288

384543452288 is an abundant number, since it is smaller than the sum of its proper divisors (395583482017).

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

384543452288 is an frugal number, since it uses more digits than its factorization.

384543452288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1990 (or 990 counting only the distinct ones).

The product of its digits is 29491200, while the sum is 56.

The spelling of 384543452288 in words is "three hundred eighty-four billion, five hundred forty-three million, four hundred fifty-two thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 32 59 64 118 128 236 472 929 944 1858 1888 3481 3716 3776 6962 7432 7552 13924 14864 27848 29728 54811 55696 59456 109622 111392 118912 219244 222784 438488 445568 863041 876976 1726082 1753952 3233849 3452164 3507904 6467698 6904328 7015808 12935396 13808656 25870792 27617312 50919419 51741584 55234624 101838838 103483168 110469248 203677676 206966336 407355352 413932672 814710704 1629421408 3004245721 3258842816 6008491442 6517685632 12016982884 24033965768 48067931536 96135863072 192271726144 384543452288