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828242208248 = 2371310903104347
BaseRepresentation
bin11000000110101110001…
…01010010010111111000
32221011211121211120101112
430003113011102113320
5102032220001130443
61432253400535452
7113560420416410
oct14032705222770
92834747746345
10828242208248
1129a28a152874
12114628781588
136014510c3c0
142c131163640
151682794db18
hexc0d71525f8

828242208248 has 64 divisors (see below), whose sum is σ = 1911521794560. Its totient is φ = 327623066496.

The previous prime is 828242208247. The next prime is 828242208307. The reversal of 828242208248 is 842802242828.

It is a junction number, because it is equal to n+sod(n) for n = 828242208196 and 828242208205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828242208247) 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 15 ways as a sum of consecutive naturals, for example, 7885211 + ... + 7989557.

It is an arithmetic number, because the mean of its divisors is an integer number (29867528040).

Almost surely, 2828242208248 is an apocalyptic number.

It is an amenable number.

828242208248 is an abundant number, since it is smaller than the sum of its proper divisors (1083279586312).

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

828242208248 is a wasteful number, since it uses less digits than its factorization.

828242208248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115276 (or 115272 counting only the distinct ones).

The product of its (nonzero) digits is 2097152, while the sum is 50.

The spelling of 828242208248 in words is "eight hundred twenty-eight billion, two hundred forty-two million, two hundred eight thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 364 728 10903 21806 43612 76321 87224 104347 141739 152642 208694 283478 305284 417388 566956 610568 730429 834776 992173 1133912 1356511 1460858 1984346 2713022 2921716 3968692 5426044 5843432 7937384 9495577 10852088 18991154 37982308 75964616 1137695341 2275390682 4550781364 7963867387 9101562728 14790039433 15927734774 29580078866 31855469548 59160157732 63710939096 103530276031 118320315464 207060552062 414121104124 828242208248