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10502320520 = 2351719977611
BaseRepresentation
bin10011100011111110…
…01011000110001000
31000002220222011100002
421301333023012020
5133002043224040
64454045102132
7521154152156
oct116177130610
930086864302
1010502320520
1144aa31693a
122051257948
13cb4aa5853
14718b603d6
15417033a15
hex271fcb188

10502320520 has 64 divisors (see below), whose sum is σ = 25146288000. Its totient is φ = 3933895680.

The previous prime is 10502320511. The next prime is 10502320561. The reversal of 10502320520 is 2502320501.

10502320520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105023205202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10502320492 and 10502320501.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96515 + ... + 174125.

It is an arithmetic number, because the mean of its divisors is an integer number (392910750).

Almost surely, 210502320520 is an apocalyptic number.

10502320520 is a gapful number since it is divisible by the number (10) 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 10502320520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12573144000).

10502320520 is an abundant number, since it is smaller than the sum of its proper divisors (14643967480).

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

10502320520 is a wasteful number, since it uses less digits than its factorization.

10502320520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77838 (or 77834 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The spelling of 10502320520 in words is "ten billion, five hundred two million, three hundred twenty thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 199 340 398 680 796 995 1592 1990 3383 3980 6766 7960 13532 16915 27064 33830 67660 77611 135320 155222 310444 388055 620888 776110 1319387 1552220 2638774 3104440 5277548 6596935 10555096 13193870 15444589 26387740 30889178 52775480 61778356 77222945 123556712 154445890 262558013 308891780 525116026 617783560 1050232052 1312790065 2100464104 2625580130 5251160260 10502320520