Search a number
-
+
2432211054325 = 5213435910972689
BaseRepresentation
bin100011011001001011000…
…100110110111011110101
322121111221222012022122221
4203121023010312323311
5304322132012214300
65101201535522341
7340502312564323
oct43311304667365
98544858168587
102432211054325
11858549807038
123334666893b1
13148483369870
1485a109b4d13
15434026a231a
hex2364b136ef5

2432211054325 has 96 divisors (see below), whose sum is σ = 3384139651200. Its totient is φ = 1722377502720.

The previous prime is 2432211054323. The next prime is 2432211054401. The reversal of 2432211054325 is 5234501122342.

It is not a de Polignac number, because 2432211054325 - 21 = 2432211054323 is a prime.

It is a super-2 number, since 2×24322110543252 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2432211054323) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 904502581 + ... + 904505269.

It is an arithmetic number, because the mean of its divisors is an integer number (35251454700).

Almost surely, 22432211054325 is an apocalyptic number.

2432211054325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2432211054325 is a deficient number, since it is larger than the sum of its proper divisors (951928596875).

2432211054325 is a wasteful number, since it uses less digits than its factorization.

2432211054325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3911 (or 3906 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

Adding to 2432211054325 its reverse (5234501122342), we get a palindrome (7666712176667).

The spelling of 2432211054325 in words is "two trillion, four hundred thirty-two billion, two hundred eleven million, fifty-four thousand, three hundred twenty-five".

Divisors: 1 5 13 25 43 59 65 215 295 325 559 767 1075 1097 1475 2537 2689 2795 3835 5485 12685 13445 13975 14261 19175 27425 32981 34957 47171 63425 64723 67225 71305 115627 158651 164905 174785 235855 323615 356525 578135 613223 793255 824525 841399 873925 1179275 1503151 1618075 2062463 2783089 2890675 2949833 3066115 3966275 4206995 6821993 7515755 10312315 13915445 14749165 15330575 21034975 34109965 36180157 37578775 38347829 51561575 69577225 73745825 88685909 126842819 170549825 174040147 180900785 191739145 443429545 634214095 870200735 904503925 958695725 1648956647 2217147725 2262521911 3171070475 4351003675 7483726321 8244783235 11312609555 37418631605 41223916175 56563047775 97288442173 187093158025 486442210865 2432211054325