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248022685696 = 211419289033
BaseRepresentation
bin1110011011111101001…
…1011101100000000000
3212201012010102212211011
43212333103131200000
513030422301420241
6305535014530304
723630143021012
oct3467723354000
9781163385734
10248022685696
11962053817a5
124009a366994
131a508528526
14c00bd801b2
1566b9438281
hex39bf4dd800

248022685696 has 48 divisors (see below), whose sum is σ = 497109576600. Its totient is φ = 123714945024.

The previous prime is 248022685681. The next prime is 248022685717. The reversal of 248022685696 is 696586220842.

248022685696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 248022685696.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 713596 + ... + 1002628.

Almost surely, 2248022685696 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 248022685696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248554788300).

248022685696 is an abundant number, since it is smaller than the sum of its proper divisors (249086890904).

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

248022685696 is an equidigital number, since it uses as much as digits as its factorization.

248022685696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289474 (or 289454 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 58.

The spelling of 248022685696 in words is "two hundred forty-eight billion, twenty-two million, six hundred eighty-five thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 128 256 419 512 838 1024 1676 2048 3352 6704 13408 26816 53632 107264 214528 289033 429056 578066 858112 1156132 2312264 4624528 9249056 18498112 36996224 73992448 121104827 147984896 242209654 295969792 484419308 591939584 968838616 1937677232 3875354464 7750708928 15501417856 31002835712 62005671424 124011342848 248022685696