Search a number
-
+
118187438656 = 26748772
BaseRepresentation
bin110111000010010000…
…1010011001001000000
3102022001200111221202211
41232010201103021000
53414021441014111
6130143342551504
711352536440000
oct1560441231100
9368050457684
10118187438656
1146139800a41
121aaa4898594
13b1b6819971
145a12720000
15311acba521
hex1b84853240

118187438656 has 105 divisors (see below), whose sum is σ = 273912280089. Its totient is φ = 50594003712.

The previous prime is 118187438623. The next prime is 118187438711. The reversal of 118187438656 is 656834781811.

The square root of 118187438656 is 343784.

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., 99578113600 + 18609325056 = 315560^2 + 136416^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 118187438656.

It is an unprimeable number.

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 14 ways as a sum of consecutive naturals, for example, 134762890 + ... + 134763766.

Almost surely, 2118187438656 is an apocalyptic number.

118187438656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

118187438656 is the 343784-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 118187438656

118187438656 is an abundant number, since it is smaller than the sum of its proper divisors (155724841433).

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

118187438656 is an frugal number, since it uses more digits than its factorization.

118187438656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1794 (or 886 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 58.

The spelling of 118187438656 in words is "one hundred eighteen billion, one hundred eighty-seven million, four hundred thirty-eight thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 343 392 448 686 784 877 1372 1568 1754 2401 2744 3136 3508 4802 5488 6139 7016 9604 10976 12278 14032 19208 21952 24556 28064 38416 42973 49112 56128 76832 85946 98224 153664 171892 196448 300811 343784 392896 601622 687568 769129 1203244 1375136 1538258 2105677 2406488 2750272 3076516 4211354 4812976 5383903 6153032 8422708 9625952 10767806 12306064 16845416 19251904 21535612 24612128 33690832 37687321 43071224 49224256 67381664 75374642 86142448 134763328 150749284 172284896 263811247 301498568 344569792 527622494 602997136 1055244988 1205994272 1846678729 2110489976 2411988544 3693357458 4220979952 7386714916 8441959904 14773429832 16883919808 29546859664 59093719328 118187438656