Search a number
-
+
49507685656 = 2311132311316651
BaseRepresentation
bin101110000110111000…
…110101010100011000
311201210021110000022021
4232012320311110120
51302342431420111
634424333304224
73401563245652
oct560670652430
9151707400267
1049507685656
1119aa5885aa0
129718035074
13488ca78c70
1425791b96d2
15144b548d71
hexb86e35518

49507685656 has 128 divisors (see below), whose sum is σ = 114810877440. Its totient is φ = 19692288000.

The previous prime is 49507685621. The next prime is 49507685671. The reversal of 49507685656 is 65658670594.

It is a junction number, because it is equal to n+sod(n) for n = 49507685594 and 49507685603.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 2964931 + ... + 2981581.

It is an arithmetic number, because the mean of its divisors is an integer number (896959980).

Almost surely, 249507685656 is an apocalyptic number.

49507685656 is a gapful number since it is divisible by the number (46) 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 49507685656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57405438720).

49507685656 is an abundant number, since it is smaller than the sum of its proper divisors (65303191784).

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

49507685656 is a wasteful number, since it uses less digits than its factorization.

49507685656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16817 (or 16813 counting only the distinct ones).

The product of its (nonzero) digits is 54432000, while the sum is 61.

The spelling of 49507685656 in words is "forty-nine billion, five hundred seven million, six hundred eighty-five thousand, six hundred fifty-six".

Divisors: 1 2 4 8 11 13 22 23 26 44 46 52 88 92 104 113 143 184 226 253 286 299 452 506 572 598 904 1012 1144 1196 1243 1469 2024 2392 2486 2599 2938 3289 4972 5198 5876 6578 9944 10396 11752 13156 16159 16651 20792 26312 28589 32318 33302 33787 57178 64636 66604 67574 114356 129272 133208 135148 183161 216463 228712 270296 366322 371657 382973 432926 732644 743314 765946 865852 1465288 1486628 1531892 1731704 1881563 2381093 2973256 3063784 3763126 4212703 4762186 4978649 7526252 8425406 9524372 9957298 15052504 16850812 19048744 19914596 20697193 24460319 33701624 39829192 41394386 43275949 48920638 54765139 82788772 86551898 97841276 109530278 165577544 173103796 195682552 219060556 269063509 346207592 438121112 476035439 538127018 562587337 952070878 1076254036 1125174674 1904141756 2152508072 2250349348 3808283512 4500698696 6188460707 12376921414 24753842828 49507685656