Search a number
-
+
48990222209984 = 2611249912677789
BaseRepresentation
bin10110010001110011011001…
…10010101101001111000000
320102110102022211002122022212
423020321230302231033000
522410123433341204414
6252105444122521252
713214266243006466
oct1310715462551700
9212412284078285
1048990222209984
11146787002a0900
1255b2772366228
1321449b17cc593
14c151d4762836
1559e534cd083e
hex2c8e6ccad3c0

48990222209984 has 84 divisors (see below), whose sum is σ = 107070275445000. Its totient is φ = 22223655252480.

The previous prime is 48990222209843. The next prime is 48990222210011.

48990222209984 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 11 ways as a sum of consecutive naturals, for example, 2474639 + ... + 10203150.

It is an arithmetic number, because the mean of its divisors is an integer number (1274646136250).

Almost surely, 248990222209984 is an apocalyptic number.

48990222209984 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

48990222209984 is an abundant number, since it is smaller than the sum of its proper divisors (58080053235016).

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

48990222209984 is a wasteful number, since it uses less digits than its factorization.

48990222209984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12678322 (or 12678301 counting only the distinct ones).

The product of its (nonzero) digits is 107495424, while the sum is 68.

The spelling of 48990222209984 in words is "forty-eight trillion, nine hundred ninety billion, two hundred twenty-two million, two hundred nine thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 176 242 352 484 499 704 968 998 1936 1996 3872 3992 5489 7744 7984 10978 15968 21956 31936 43912 60379 87824 120758 175648 241516 351296 483032 966064 1932128 3864256 12677789 25355578 50711156 101422312 139455679 202844624 278911358 405689248 557822716 811378496 1115645432 1534012469 2231290864 3068024938 4462581728 6136049876 6326216711 8925163456 12272099752 12652433422 24544199504 25304866844 49088399008 50609733688 69588383821 98176798016 101219467376 139176767642 202438934752 278353535284 404877869504 556707070568 765472222031 1113414141136 1530944444062 2226828282272 3061888888124 4453656564544 6123777776248 12247555552496 24495111104992 48990222209984