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248952870468 = 2234768373057
BaseRepresentation
bin1110011111011010111…
…1110101011001000100
3212210120221202011110000
43213312233311121010
513034323413323333
6310211204001300
723662166324661
oct3476657653104
9783527664400
10248952870468
1196642450345
12402b9990230
131a626160013
14c099716a68
156720e28713
hex39f6bf5644

248952870468 has 30 divisors (see below), whose sum is σ = 650811980126. Its totient is φ = 82984290048.

The previous prime is 248952870457. The next prime is 248952870497. The reversal of 248952870468 is 864078259842.

248952870468 is a `hidden beast` number, since 2 + 4 + 8 + 95 + 2 + 87 + 0 + 468 = 666.

248952870468 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 238933260864 + 10019609604 = 488808^2 + 100098^2 .

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 9 ways as a sum of consecutive naturals, for example, 384186205 + ... + 384186852.

Almost surely, 2248952870468 is an apocalyptic number.

It is an amenable number.

248952870468 is an abundant number, since it is smaller than the sum of its proper divisors (401859109658).

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

248952870468 is a wasteful number, since it uses less digits than its factorization.

248952870468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768373073 (or 768373062 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 248952870468 in words is "two hundred forty-eight billion, nine hundred fifty-two million, eight hundred seventy thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 768373057 1536746114 2305119171 3073492228 4610238342 6915357513 9220476684 13830715026 20746072539 27661430052 41492145078 62238217617 82984290156 124476435234 248952870468