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10141788385 = 510477193601
BaseRepresentation
bin10010111000111111…
…10110100011100001
3222011210120020020001
421130133312203201
5131232244212020
64354205420001
7506215531111
oct113437664341
928153506201
1010141788385
1143348587a3
121b7056a601
13c581a2821
146c2d11041
153e556950a
hex25c7f68e1

10141788385 has 8 divisors (see below), whose sum is σ = 12171370536. Its totient is φ = 8112614400.

The previous prime is 10141788373. The next prime is 10141788409. The reversal of 10141788385 is 58388714101.

It can be written as a sum of positive squares in 4 ways, for example, as 5704629841 + 4437158544 = 75529^2 + 66612^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10141788385 - 211 = 10141786337 is a prime.

It is a super-2 number, since 2×101417883852 (a number of 21 digits) contains 22 as substring.

It is a Duffinian 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 7 ways as a sum of consecutive naturals, for example, 44416 + ... + 149185.

It is an arithmetic number, because the mean of its divisors is an integer number (1521421317).

Almost surely, 210141788385 is an apocalyptic number.

It is an amenable number.

10141788385 is a deficient number, since it is larger than the sum of its proper divisors (2029582151).

10141788385 is a wasteful number, since it uses less digits than its factorization.

10141788385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204083.

The product of its (nonzero) digits is 215040, while the sum is 46.

The spelling of 10141788385 in words is "ten billion, one hundred forty-one million, seven hundred eighty-eight thousand, three hundred eighty-five".

Divisors: 1 5 10477 52385 193601 968005 2028357677 10141788385