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207994372096 = 214725092
BaseRepresentation
bin1100000110110101101…
…1100100000000000000
3201212212111002212100211
43001231123210000000
511401433024401341
6235315025123504
721012202664200
oct3015533440000
9655774085324
10207994372096
1180234445295
1234388a89594
13167c9641774
14a0d1b22400
15562520c181
hex306d6e4000

207994372096 has 135 divisors (see below), whose sum is σ = 484843042929. Its totient is φ = 88965316608.

The previous prime is 207994372093. The next prime is 207994372127. The reversal of 207994372096 is 690273499702.

The square root of 207994372096 is 456064.

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

It can be written as a sum of positive squares in only one way, i.e., 169138077696 + 38856294400 = 411264^2 + 197120^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 207994372096.

It is not an unprimeable number, because it can be changed into a prime (207994372093) 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, 408633090 + ... + 408633598.

Almost surely, 2207994372096 is an apocalyptic number.

207994372096 is the 456064-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 207994372096

207994372096 is an abundant number, since it is smaller than the sum of its proper divisors (276848670833).

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

207994372096 is an frugal number, since it uses more digits than its factorization.

207994372096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1060 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 10287648, while the sum is 58.

The spelling of 207994372096 in words is "two hundred seven billion, nine hundred ninety-four million, three hundred seventy-two thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 509 512 784 896 1018 1024 1568 1792 2036 2048 3136 3563 3584 4072 4096 6272 7126 7168 8144 8192 12544 14252 14336 16288 16384 24941 25088 28504 28672 32576 49882 50176 57008 57344 65152 99764 100352 114016 114688 130304 199528 200704 228032 259081 260608 399056 401408 456064 518162 521216 798112 802816 912128 1036324 1042432 1596224 1813567 1824256 2072648 2084864 3192448 3627134 3648512 4145296 4169728 6384896 7254268 7297024 8290592 8339456 12694969 12769792 14508536 14594048 16581184 25389938 25539584 29017072 29188096 33162368 50779876 51079168 58034144 58376192 66324736 101559752 102158336 116068288 132649472 203119504 204316672 232136576 265298944 406239008 408633344 464273152 530597888 812478016 928546304 1061195776 1624956032 1857092608 2122391552 3249912064 3714185216 4244783104 6499824128 7428370432 12999648256 14856740864 25999296512 29713481728 51998593024 103997186048 207994372096