Search a number
-
+
48979888897984 = 26113113117132161
BaseRepresentation
bin10110010001100000001001…
…11000001111111111000000
320102102102122200011000002121
423020300010320033333000
522404441303024213414
6252101014512054024
713213452210213442
oct1310600470177700
9212372580130077
1048979888897984
111467428841a630
1255b0769834314
132143a25a4c995
14c148d4238492
1559e12ca33724
hex2c8c04e0ffc0

48979888897984 has 112 divisors (see below), whose sum is σ = 110286168486912. Its totient is φ = 21380935680000.

The previous prime is 48979888897969. The next prime is 48979888897993.

48979888897984 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5707137 + ... + 11425024.

Almost surely, 248979888897984 is an apocalyptic number.

48979888897984 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

48979888897984 is an abundant number, since it is smaller than the sum of its proper divisors (61306279588928).

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

48979888897984 is a wasteful number, since it uses less digits than its factorization.

48979888897984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17132346 (or 17132336 counting only the distinct ones).

The product of its digits is 1348422598656, while the sum is 106.

The spelling of 48979888897984 in words is "forty-eight trillion, nine hundred seventy-nine billion, eight hundred eighty-eight million, eight hundred ninety-seven thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 64 88 124 131 176 248 262 341 352 496 524 682 704 992 1048 1364 1441 1984 2096 2728 2882 4061 4192 5456 5764 8122 8384 10912 11528 16244 21824 23056 32488 44671 46112 64976 89342 92224 129952 178684 259904 357368 714736 1429472 2858944 17132161 34264322 68528644 137057288 188453771 274114576 376907542 531096991 548229152 753815084 1062193982 1096458304 1507630168 2124387964 2244313091 3015260336 4248775928 4488626182 5842066901 6030520672 8497551856 8977252364 11684133802 12061041344 16995103712 17954504728 23368267604 24687444001 33990207424 35909009456 46736535208 49374888002 69573705821 71818018912 93473070416 98749776004 139147411642 143636037824 186946140832 197499552008 278294823284 373892281664 394999104016 556589646568 765310764031 789998208032 1113179293136 1530621528062 1579996416064 2226358586272 3061243056124 4452717172544 6122486112248 12244972224496 24489944448992 48979888897984