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10141899849 = 32335692
BaseRepresentation
bin10010111001000000…
…10001110001001001
3222011210202220010100
421130200101301021
5131232311243344
64354212040013
7506216504064
oct113440216111
928153686110
1010141899849
114334924514
121b70603009
13c58211493
146c2d3d8db
153e558c569
hex25c811c49

10141899849 has 9 divisors (see below), whose sum is σ = 14649847303. Its totient is φ = 6761065152.

The previous prime is 10141899847. The next prime is 10141899881. The reversal of 10141899849 is 94899814101.

The square root of 10141899849 is 100707.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 647346249 + 9494553600 = 25443^2 + 97440^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 10141899849 - 21 = 10141899847 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10141899795 and 10141899804.

It is not an unprimeable number, because it can be changed into a prime (10141899847) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 285337 + ... + 318905.

Almost surely, 210141899849 is an apocalyptic number.

10141899849 is the 100707-th square number.

10141899849 is the 50354-th centered octagonal number.

It is an amenable number.

10141899849 is a deficient number, since it is larger than the sum of its proper divisors (4507947454).

10141899849 is an frugal number, since it uses more digits than its factorization.

10141899849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67144 (or 33572 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 54.

The spelling of 10141899849 in words is "ten billion, one hundred forty-one million, eight hundred ninety-nine thousand, eight hundred forty-nine".

Divisors: 1 3 9 33569 100707 302121 1126877761 3380633283 10141899849