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10483834776 = 2332922367547
BaseRepresentation
bin10011100001110001…
…01001111110011000
31000001122011222122220
421300320221332120
5132432330203101
64452144544040
7520541060652
oct116070517630
930048158586
1010483834776
11449a940268
122047022020
13cb100273c
1471650b6d2
154155d1636
hex270e29f98

10483834776 has 64 divisors (see below), whose sum is σ = 27235353600. Its totient is φ = 3358927488.

The previous prime is 10483834741. The next prime is 10483834817. The reversal of 10483834776 is 67743838401.

It is a happy number.

10483834776 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 2×104838347762 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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, 121435 + ... + 188981.

It is an arithmetic number, because the mean of its divisors is an integer number (425552400).

Almost surely, 210483834776 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 10483834776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13617676800).

10483834776 is an abundant number, since it is smaller than the sum of its proper divisors (16751518824).

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

10483834776 is a wasteful number, since it uses less digits than its factorization.

10483834776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67808 (or 67804 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 51.

The spelling of 10483834776 in words is "ten billion, four hundred eighty-three million, eight hundred thirty-four thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 174 223 232 348 446 669 696 892 1338 1784 2676 5352 6467 12934 19401 25868 38802 51736 67547 77604 135094 155208 202641 270188 405282 540376 810564 1621128 1958863 3917726 5876589 7835452 11753178 15062981 15670904 23506356 30125962 45188943 47012712 60251924 90377886 120503848 180755772 361511544 436826449 873652898 1310479347 1747305796 2620958694 3494611592 5241917388 10483834776