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1684455882272 = 25378375722643
BaseRepresentation
bin11000100000110001011…
…001001111111000100000
312222000212121220211022222
4120200301121033320200
5210044231201213042
63325454531250212
7232461246521042
oct30406131177040
95860777824288
101684455882272
1159a4124828a9
12232560a49968
13c2ac7258787
145b757169a92
152dc3ad792d2
hex1883164fe20

1684455882272 has 96 divisors (see below), whose sum is σ = 3451642310592. Its totient is φ = 808486769664.

The previous prime is 1684455882247. The next prime is 1684455882289. The reversal of 1684455882272 is 2722885544861.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74380583 + ... + 74403225.

It is an arithmetic number, because the mean of its divisors is an integer number (35954607402).

Almost surely, 21684455882272 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 1684455882272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1725821155296).

1684455882272 is an abundant number, since it is smaller than the sum of its proper divisors (1767186428320).

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

1684455882272 is a wasteful number, since it uses less digits than its factorization.

1684455882272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23530 (or 23522 counting only the distinct ones).

The product of its digits is 68812800, while the sum is 62.

The spelling of 1684455882272 in words is "one trillion, six hundred eighty-four billion, four hundred fifty-five million, eight hundred eighty-two thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 32 37 74 83 148 166 296 332 592 664 757 1184 1328 1514 2656 3028 3071 6056 6142 12112 12284 22643 24224 24568 28009 45286 49136 56018 62831 90572 98272 112036 125662 181144 224072 251324 362288 448144 502648 724576 837791 896288 1005296 1675582 1879369 2010592 2324747 3351164 3758738 4649494 6702328 7517476 9298988 13404656 15034952 17140751 18597976 26809312 30069904 34281502 37195952 60139808 68563004 69536653 74391904 137126008 139073306 274252016 278146612 548504032 556293224 634207787 1112586448 1268415574 1422682333 2225172896 2536831148 2845364666 5073662296 5690729332 10147324592 11381458664 20294649184 22762917328 45525834656 52639246321 105278492642 210556985284 421113970568 842227941136 1684455882272