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149248550929 = 192203332
BaseRepresentation
bin1000101011111111101…
…0000010100000010001
3112021020101110221112111
42022333322002200101
54421130112112204
6152321442225321
713532342515432
oct2127772024021
9467211427474
10149248550929
1158328a09365
1224b13055241
13110c699823a
14731ba63489
153d37b47d04
hex22bfe82811

149248550929 has 9 divisors (see below), whose sum is σ = 157524915963. Its totient is φ = 141386410152.

The previous prime is 149248550917. The next prime is 149248550933. The reversal of 149248550929 is 929055842941.

The square root of 149248550929 is 386327.

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., 144327809025 + 4920741904 = 379905^2 + 70148^2 .

It is not a de Polignac number, because 149248550929 - 29 = 149248550417 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (149248550629) 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 8 ways as a sum of consecutive naturals, for example, 7330047 + ... + 7350379.

Almost surely, 2149248550929 is an apocalyptic number.

149248550929 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

149248550929 is the 386327-th square number.

149248550929 is the 193164-th centered octagonal number.

It is an amenable number.

149248550929 is a deficient number, since it is larger than the sum of its proper divisors (8276365034).

149248550929 is an frugal number, since it uses more digits than its factorization.

149248550929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40704 (or 20352 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 58.

The spelling of 149248550929 in words is "one hundred forty-nine billion, two hundred forty-eight million, five hundred fifty thousand, nine hundred twenty-nine".

Divisors: 1 19 361 20333 386327 7340213 413430889 7855186891 149248550929