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10129053696 = 211317372621
BaseRepresentation
bin10010110111011110…
…10001100000000000
3222010220121020111220
421123233101200000
5131221014204241
64353032435040
7506002351536
oct113357214000
928126536456
1010129053696
11432864aa63
121b68248a80
13c556642c8
146c1358156
153e43a1166
hex25bbd1800

10129053696 has 192 divisors, whose sum is σ = 29376678240. Its totient is φ = 3090677760.

The previous prime is 10129053661. The next prime is 10129053709. The reversal of 10129053696 is 69635092101.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3863266 + ... + 3865886.

Almost surely, 210129053696 is an apocalyptic number.

10129053696 is a gapful number since it is divisible by the number (16) 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 10129053696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14688339120).

10129053696 is an abundant number, since it is smaller than the sum of its proper divisors (19247624544).

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

10129053696 is a wasteful number, since it uses less digits than its factorization.

10129053696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2700 (or 2680 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 42.

The spelling of 10129053696 in words is "ten billion, one hundred twenty-nine million, fifty-three thousand, six hundred ninety-six".