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853328675004 = 22313172203146059
BaseRepresentation
bin11000110101011100101…
…10100100000010111100
310000120120221110010021220
430122232112210002330
5102440104120100004
61452002550553340
7115436165026431
oct14325626440274
93016527403256
10853328675004
112a9992877623
1211946a068850
136261252b580
142d430bb7b88
15172e5000dd9
hexc6ae5a40bc

853328675004 has 96 divisors (see below), whose sum is σ = 2271440989440. Its totient is φ = 247003941888.

The previous prime is 853328674969. The next prime is 853328675047. The reversal of 853328675004 is 400576823358.

It is a happy number.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

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 31 ways as a sum of consecutive naturals, for example, 5769327 + ... + 5915385.

It is an arithmetic number, because the mean of its divisors is an integer number (23660843640).

Almost surely, 2853328675004 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 853328675004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1135720494720).

853328675004 is an abundant number, since it is smaller than the sum of its proper divisors (1418112314436).

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

853328675004 is a wasteful number, since it uses less digits than its factorization.

853328675004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148299 (or 148297 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 51.

The spelling of 853328675004 in words is "eight hundred fifty-three billion, three hundred twenty-eight million, six hundred seventy-five thousand, four".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 68 78 102 156 204 221 442 663 884 1326 2203 2652 4406 6609 8812 13218 26436 28639 37451 57278 74902 85917 112353 114556 146059 149804 171834 224706 292118 343668 438177 449412 486863 584236 876354 973726 1460589 1752708 1898767 1947452 2483003 2921178 3797534 4966006 5696301 5842356 7449009 7595068 9932012 11392602 14898018 22785204 29796036 32279039 64558078 96837117 129116156 193674234 321767977 387348468 643535954 965303931 1287071908 1930607862 3861215724 4182983701 5470055609 8365967402 10940111218 12548951103 16410166827 16731934804 21880222436 25097902206 32820333654 50195804412 65640667308 71110722917 142221445834 213332168751 284442891668 426664337502 853328675004