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2153041461 = 322913162971
BaseRepresentation
bin1000000001010100…
…1100111000110101
312120001022211122100
42000111030320311
513402134311321
6553351052313
7104232356544
oct20025147065
95501284570
102153041461
11a05376a0a
12501071099
1328409c73c
14165d3615b
15c9043326
hex8054ce35

2153041461 has 24 divisors (see below), whose sum is σ = 3241798560. Its totient is φ = 1375264800.

The previous prime is 2153041459. The next prime is 2153041529. The reversal of 2153041461 is 1641403512.

It is a happy number.

2153041461 is a `hidden beast` number, since 215 + 30 + 414 + 6 + 1 = 666.

It is not a de Polignac number, because 2153041461 - 21 = 2153041459 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2153041441) 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 23 ways as a sum of consecutive naturals, for example, 2706 + ... + 65676.

It is an arithmetic number, because the mean of its divisors is an integer number (135074940).

Almost surely, 22153041461 is an apocalyptic number.

It is an amenable number.

2153041461 is a deficient number, since it is larger than the sum of its proper divisors (1088757099).

2153041461 is a wasteful number, since it uses less digits than its factorization.

2153041461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63137 (or 63134 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2153041461 is about 46400.8778041968. The cubic root of 2153041461 is about 1291.2711986929.

Adding to 2153041461 its reverse (1641403512), we get a palindrome (3794444973).

The spelling of 2153041461 in words is "two billion, one hundred fifty-three million, forty-one thousand, four hundred sixty-one".

Divisors: 1 3 9 29 87 131 261 393 1179 3799 11397 34191 62971 188913 566739 1826159 5478477 8249201 16435431 24747603 74242809 239226829 717680487 2153041461