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245238832542 = 2311311071120211
BaseRepresentation
bin1110010001100101011…
…1111001110110011110
3212110000010010111012210
43210121113321312132
513004222120120132
6304354451141250
723501150453034
oct3443127716636
9773003114183
10245238832542
1195006a22710
123b641ba4826
131a183862942
14bc26360554
1565a4d3cbcc
hex39195f9d9e

245238832542 has 64 divisors (see below), whose sum is σ = 557489184768. Its totient is φ = 71245356000.

The previous prime is 245238832481. The next prime is 245238832607.

245238832542 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 245238832491 and 245238832500.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 341184 + ... + 779027.

It is an arithmetic number, because the mean of its divisors is an integer number (8710768512).

Almost surely, 2245238832542 is an apocalyptic number.

245238832542 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

245238832542 is an abundant number, since it is smaller than the sum of its proper divisors (312250352226).

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

245238832542 is a wasteful number, since it uses less digits than its factorization.

245238832542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120365.

The product of its digits is 3686400, while the sum is 48.

The spelling of 245238832542 in words is "two hundred forty-five billion, two hundred thirty-eight million, eight hundred thirty-two thousand, five hundred forty-two".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 107 186 214 321 341 642 682 1023 1177 2046 2354 3317 3531 6634 7062 9951 19902 36487 72974 109461 218922 1120211 2240422 3360633 6721266 12322321 24644642 34726541 36966963 69453082 73933926 104179623 119862577 208359246 239725154 359587731 381991951 719175462 763983902 1145975853 1318488347 2291951706 2636976694 3715739887 3955465041 7431479774 7910930082 11147219661 22294439322 40873138757 81746277514 122619416271 245238832542