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248848850164 = 22401931547837
BaseRepresentation
bin1110011111000010001…
…1000001110011110100
3212210022201000101102011
43213300203001303310
513034120301201124
6310153010254004
723656464216535
oct3476043016364
9783281011364
10248848850164
1196599763352
124028ab87304
131a60a73c645
14c08999a68c
156716c2c994
hex39f08c1cf4

248848850164 has 12 divisors (see below), whose sum is σ = 435496604004. Its totient is φ = 124421249024.

The previous prime is 248848850161. The next prime is 248848850177. The reversal of 248848850164 is 461058848842.

248848850164 is digitally balanced in base 2, 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 2 ways, for example, as 51261488100 + 197587362064 = 226410^2 + 444508^2 .

It is a junction number, because it is equal to n+sod(n) for n = 248848850099 and 248848850108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248848850161) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 613147 + ... + 934690.

It is an arithmetic number, because the mean of its divisors is an integer number (36291383667).

Almost surely, 2248848850164 is an apocalyptic number.

It is an amenable number.

248848850164 is a deficient number, since it is larger than the sum of its proper divisors (186647753840).

248848850164 is a wasteful number, since it uses less digits than its factorization.

248848850164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1588034 (or 1588032 counting only the distinct ones).

The product of its (nonzero) digits is 15728640, while the sum is 58.

The spelling of 248848850164 in words is "two hundred forty-eight billion, eight hundred forty-eight million, eight hundred fifty thousand, one hundred sixty-four".

Divisors: 1 2 4 40193 80386 160772 1547837 3095674 6191348 62212212541 124424425082 248848850164