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501664228848 = 243329792232273
BaseRepresentation
bin1110100110011011000…
…01001010010111110000
31202221212211202022001000
413103031201022113300
531204402020310343
61022243353242000
751146464405446
oct7231541122760
91687784668030
10501664228848
11183833419242
1281286403300
13383cab81583
141a3d0276b96
15d0b1cbced3
hex74cd84a5f0

501664228848 has 320 divisors, whose sum is σ = 1515902976000. Its totient is φ = 158626750464.

The previous prime is 501664228799. The next prime is 501664228867. The reversal of 501664228848 is 848822466105.

501664228848 is a `hidden beast` number, since 50 + 166 + 422 + 8 + 8 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 501664228794 and 501664228803.

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 63 ways as a sum of consecutive naturals, for example, 220704640 + ... + 220706912.

It is an arithmetic number, because the mean of its divisors is an integer number (4737196800).

Almost surely, 2501664228848 is an apocalyptic number.

501664228848 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 501664228848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757951488000).

501664228848 is an abundant number, since it is smaller than the sum of its proper divisors (1014238747152).

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

501664228848 is a wasteful number, since it uses less digits than its factorization.

501664228848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2621 (or 2609 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 501664228848 in words is "five hundred one billion, six hundred sixty-four million, two hundred twenty-eight thousand, eight hundred forty-eight".