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39568220672 = 295921492
BaseRepresentation
bin100100110110011100…
…110010001000000000
310210010120120212121112
4210312130302020000
51122013431030142
630102152142452
72600352216641
oct446634621000
9123116525545
1039568220672
1115865257922
127803397a28
133967795136
141cb50d36c8
151068b47382
hex936732200

39568220672 has 90 divisors (see below), whose sum is σ = 80965223493. Its totient is φ = 19318257664.

The previous prime is 39568220639. The next prime is 39568220677. The reversal of 39568220672 is 27602286593.

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 32509532416 + 7058688256 = 180304^2 + 84016^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=140656.

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 39568220672.

It is not an unprimeable number, because it can be changed into a prime (39568220677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 265558454 + ... + 265558602.

Almost surely, 239568220672 is an apocalyptic number.

39568220672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39568220672

39568220672 is an abundant number, since it is smaller than the sum of its proper divisors (41397002821).

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

39568220672 is an frugal number, since it uses more digits than its factorization.

39568220672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 50.

Multiplying 39568220672 by its sum of digits (50), we get a square (1978411033600 = 14065602).

The spelling of 39568220672 in words is "thirty-nine billion, five hundred sixty-eight million, two hundred twenty thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 32 59 64 118 128 149 236 256 298 472 512 596 944 1192 1888 2384 3481 3776 4768 6962 7552 8791 9536 13924 15104 17582 19072 22201 27848 30208 35164 38144 44402 55696 70328 76288 88804 111392 140656 177608 222784 281312 355216 445568 518669 562624 710432 891136 1037338 1125248 1309859 1420864 1782272 2074676 2250496 2619718 2841728 4149352 4500992 5239436 5683456 8298704 10478872 11366912 16597408 20957744 33194816 41915488 66389632 77281681 83830976 132779264 154563362 167661952 265558528 309126724 335323904 618253448 670647808 1236506896 2473013792 4946027584 9892055168 19784110336 39568220672