Search a number
-
+
202501512513040 = 24513199997405199
BaseRepresentation
bin101110000010110010001110…
…101110000100011000010000
3222112222221210120202020121111
4232002302032232010120100
5203020241044200404130
61554403524404103104
760440152153664236
oct5602621656043020
9875887716666544
10202501512513040
1159583455679004
121a866196994a94
1388cba70124940
1438011a8536956
1518627e086c02a
hexb82c8eb84610

202501512513040 has 80 divisors (see below), whose sum is σ = 507286281600000. Its totient is φ = 74732384871936.

The previous prime is 202501512513037. The next prime is 202501512513059. The reversal of 202501512513040 is 40315215105202.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 202501512512993 and 202501512513011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46623640 + ... + 50781559.

It is an arithmetic number, because the mean of its divisors is an integer number (6341078520000).

Almost surely, 2202501512513040 is an apocalyptic number.

202501512513040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202501512513040 is an abundant number, since it is smaller than the sum of its proper divisors (304784769086960).

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

202501512513040 is a wasteful number, since it uses less digits than its factorization.

202501512513040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97407224 (or 97407218 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 31.

Adding to 202501512513040 its reverse (40315215105202), we get a palindrome (242816727618242).

The spelling of 202501512513040 in words is "two hundred two trillion, five hundred one billion, five hundred twelve million, five hundred thirteen thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 1999 3998 7996 9995 15992 19990 25987 31984 39980 51974 79960 103948 129935 159920 207896 259870 415792 519740 1039480 2078960 97405199 194810398 389620796 487025995 779241592 974051990 1266267587 1558483184 1948103980 2532535174 3896207960 5065070348 6331337935 7792415920 10130140696 12662675870 20260281392 25325351740 50650703480 101301406960 194712992801 389425985602 778851971204 973564964005 1557703942408 1947129928010 2531268906413 3115407884816 3894259856020 5062537812826 7788519712040 10125075625652 12656344532065 15577039424080 20250151251304 25312689064130 40500302502608 50625378128260 101250756256520 202501512513040