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10321266852 = 22321331253433
BaseRepresentation
bin10011001110011001…
…00000100010100100
3222122022021200101200
421213030200202210
5132114221014402
64424100322500
7513525215001
oct114714404244
928568250350
1010321266852
1144170a4606
1220006a3430
13c864231c0
146dcab08a8
154061bd21c
hex2673208a4

10321266852 has 216 divisors, whose sum is σ = 29648461752. Its totient is φ = 3008378880.

The previous prime is 10321266829. The next prime is 10321266871. The reversal of 10321266852 is 25866212301.

It can be written as a sum of positive squares in 4 ways, for example, as 83064996 + 10238201856 = 9114^2 + 101184^2 .

It is a super-3 number, since 3×103212668523 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23836428 + ... + 23836860.

It is an arithmetic number, because the mean of its divisors is an integer number (137261397).

Almost surely, 210321266852 is an apocalyptic number.

10321266852 is a gapful number since it is divisible by the number (12) 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 10321266852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14824230876).

10321266852 is an abundant number, since it is smaller than the sum of its proper divisors (19327194900).

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

10321266852 is a wasteful number, since it uses less digits than its factorization.

10321266852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 10321266852 in words is "ten billion, three hundred twenty-one million, two hundred sixty-six thousand, eight hundred fifty-two".