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2053267969 = 11324012
BaseRepresentation
bin111101001100010…
…0110001000000001
312022002120211010211
41322120212020001
513201114033334
6535424354121
7101611326664
oct17230461001
95262524124
102053267969
1196401a685
12493775941
1326950807c
141569a36db
15c03d5a64
hex7a626201

2053267969 has 9 divisors (see below), whose sum is σ = 2076778249. Its totient is φ = 2030022400.

The previous prime is 2053267963. The next prime is 2053267999. The reversal of 2053267969 is 9697623502.

The square root of 2053267969 is 45313.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2265025 + 2051002944 = 1505^2 + 45288^2 .

It is not a de Polignac number, because 2053267969 - 23 = 2053267961 is a prime.

It is a super-2 number, since 2×20532679692 = 8431818705042769922, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2053267961) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5120169 + ... + 5120569.

Almost surely, 22053267969 is an apocalyptic number.

2053267969 is the 45313-rd square number.

2053267969 is the 22657-th centered octagonal number.

It is an amenable number.

2053267969 is a deficient number, since it is larger than the sum of its proper divisors (23510280).

2053267969 is an frugal number, since it uses more digits than its factorization.

2053267969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1028 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 49.

The cubic root of 2053267969 is about 1271.0087608084.

Multiplying 2053267969 by its sum of digits (49), we get a square (100610130481 = 3171912).

The spelling of 2053267969 in words is "two billion, fifty-three million, two hundred sixty-seven thousand, nine hundred sixty-nine".

Divisors: 1 113 401 12769 45313 160801 5120369 18170513 2053267969