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149261456127 = 37292131115013
BaseRepresentation
bin1000101100000010101…
…1010001001011111111
3112021021021202121010210
42023000223101023333
54421141413044002
6152323023003503
713532560305060
oct2130053211377
9467237677123
10149261456127
1158335223213
1224b17439593
13110c9566254
14731d662567
153d38d4696c
hex22c0ad12ff

149261456127 has 32 divisors (see below), whose sum is σ = 235401454080. Its totient is φ = 82311788160.

The previous prime is 149261456107. The next prime is 149261456177. The reversal of 149261456127 is 721654162941.

149261456127 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 149261456127 - 26 = 149261456063 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149261456107) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1240273 + ... + 1355285.

It is an arithmetic number, because the mean of its divisors is an integer number (7356295440).

Almost surely, 2149261456127 is an apocalyptic number.

149261456127 is a deficient number, since it is larger than the sum of its proper divisors (86139997953).

149261456127 is a wasteful number, since it uses less digits than its factorization.

149261456127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117183.

The product of its digits is 725760, while the sum is 48.

The spelling of 149261456127 in words is "one hundred forty-nine billion, two hundred sixty-one million, four hundred fifty-six thousand, one hundred twenty-seven".

Divisors: 1 3 7 21 29 87 203 609 2131 6393 14917 44751 61799 115013 185397 345039 432593 805091 1297779 2415273 3335377 10006131 23347639 70042917 245092703 735278109 1715648921 5146946763 7107688387 21323065161 49753818709 149261456127