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10043847961 = 7210321392
BaseRepresentation
bin10010101101010100…
…01111010100011001
3221220222021100012221
421112222033110121
5131032211113321
64340350304041
7503616204400
oct112652172431
927828240187
1010043847961
1142945436a4
121b437b8021
13c40b00604
146b3cd8637
153dbb6ee41
hex256a8f519

10043847961 has 27 divisors (see below), whose sum is σ = 11883684501. Its totient is φ = 8464095864.

The previous prime is 10043847953. The next prime is 10043847973. The reversal of 10043847961 is 16974834001.

The square root of 10043847961 is 100219.

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

10043847961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10043847961 - 23 = 10043847953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10043847461) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 72257830 + ... + 72257968.

It is an arithmetic number, because the mean of its divisors is an integer number (440136463).

Almost surely, 210043847961 is an apocalyptic number.

10043847961 is the 100219-th square number.

10043847961 is the 50110-th centered octagonal number.

It is an amenable number.

10043847961 is a deficient number, since it is larger than the sum of its proper divisors (1839836540).

10043847961 is an frugal number, since it uses more digits than its factorization.

10043847961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The spelling of 10043847961 in words is "ten billion, forty-three million, eight hundred forty-seven thousand, nine hundred sixty-one".

Divisors: 1 7 49 103 139 721 973 5047 6811 10609 14317 19321 74263 100219 135247 519841 701533 946729 1474651 1990063 10322557 13930441 72257899 97513087 204976489 1434835423 10043847961