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248472867552 = 253721331131071
BaseRepresentation
bin1110011101101000100…
…0110001001011100000
3212202100111112111020020
43213122020301023200
513032333023230202
6310051415513440
723644250345400
oct3473210611340
9782314474206
10248472867552
1196416502018
12401a5088880
131a57a889c20
14c051a88800
1566e3c105bc
hex39da2312e0

248472867552 has 288 divisors, whose sum is σ = 843457757184. Its totient is φ = 63416908800.

The previous prime is 248472867547. The next prime is 248472867607. The reversal of 248472867552 is 255768274842.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1830177 + ... + 1961247.

It is an arithmetic number, because the mean of its divisors is an integer number (2928672768).

Almost surely, 2248472867552 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 248472867552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421728878592).

248472867552 is an abundant number, since it is smaller than the sum of its proper divisors (594984889632).

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

248472867552 is a wasteful number, since it uses less digits than its factorization.

248472867552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131142 (or 131127 counting only the distinct ones).

The product of its digits is 60211200, while the sum is 60.

The spelling of 248472867552 in words is "two hundred forty-eight billion, four hundred seventy-two million, eight hundred sixty-seven thousand, five hundred fifty-two".