Search a number
-
+
350755987428 = 2232711263481123
BaseRepresentation
bin1010001101010101010…
…11111001111111100100
31020112100210021100011100
411012222223321333210
521221322013044203
6425045102040100
734225026462150
oct5065253717744
91215323240140
10350755987428
11125833679950
1257b8b579030
13270cb3b1472
1412d96022060
1591cd5d4ea3
hex51aaaf9fe4

350755987428 has 144 divisors (see below), whose sum is σ = 1109618205696. Its totient is φ = 90758854080.

The previous prime is 350755987381. The next prime is 350755987481. The reversal of 350755987428 is 824789557053.

350755987428 is a `hidden beast` number, since 3 + 5 + 0 + 7 + 559 + 8 + 74 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 488475 + ... + 969597.

It is an arithmetic number, because the mean of its divisors is an integer number (7705681984).

Almost surely, 2350755987428 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 350755987428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554809102848).

350755987428 is an abundant number, since it is smaller than the sum of its proper divisors (758862218268).

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

350755987428 is a wasteful number, since it uses less digits than its factorization.

350755987428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481414 (or 481409 counting only the distinct ones).

The product of its (nonzero) digits is 84672000, while the sum is 63.

The spelling of 350755987428 in words is "three hundred fifty billion, seven hundred fifty-five million, nine hundred eighty-seven thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 263 308 396 462 526 693 789 924 1052 1386 1578 1841 2367 2772 2893 3156 3682 4734 5523 5786 7364 8679 9468 11046 11572 16569 17358 20251 22092 26037 33138 34716 40502 52074 60753 66276 81004 104148 121506 182259 243012 364518 481123 729036 962246 1443369 1924492 2886738 3367861 4330107 5292353 5773476 6735722 8660214 10103583 10584706 13471444 15877059 17320428 20207166 21169412 30310749 31754118 37046471 40414332 47631177 60621498 63508236 74092942 95262354 111139413 121242996 126535349 148185884 190524708 222278826 253070698 333418239 379606047 444557652 506141396 666836478 759212094 885747443 1138818141 1333672956 1391888839 1518424188 1771494886 2277636282 2657242329 2783777678 3542989772 4175666517 4555272564 5314484658 5567555356 7971726987 8351333034 9743221873 10628969316 12526999551 15943453974 16702666068 19486443746 25053999102 29229665619 31886907948 38972887492 50107998204 58459331238 87688996857 116918662476 175377993714 350755987428