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148541638921 = 13223212892
BaseRepresentation
bin1000101001010111000…
…1011000100100001001
3112012102010022002120021
42022111301120210021
54413203124421141
6152123350500441
713506000045454
oct2122561304411
9465363262507
10148541638921
1157aa5978965
1224956364721
13110133a8a00
147291c0a49b
153ce5a5c6d1
hex2295c58909

148541638921 has 27 divisors (see below), whose sum is σ = 168274810389. Its totient is φ = 131052073152.

The previous prime is 148541638909. The next prime is 148541638933. The reversal of 148541638921 is 129836145841.

The square root of 148541638921 is 385411.

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

It is an interprime number because it is at equal distance from previous prime (148541638909) and next prime (148541638933).

It can be written as a sum of positive squares in 4 ways, for example, as 442892025 + 148098746896 = 21045^2 + 384836^2 .

It is not a de Polignac number, because 148541638921 - 213 = 148541630729 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (148541638121) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 115237245 + ... + 115238533.

Almost surely, 2148541638921 is an apocalyptic number.

148541638921 is the 385411-st square number.

148541638921 is the 192706-th centered octagonal number.

It is an amenable number.

148541638921 is a deficient number, since it is larger than the sum of its proper divisors (19733171468).

148541638921 is an frugal number, since it uses more digits than its factorization.

148541638921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2650 (or 1325 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 52.

The spelling of 148541638921 in words is "one hundred forty-eight billion, five hundred forty-one million, six hundred thirty-eight thousand, nine hundred twenty-one".

Divisors: 1 13 23 169 299 529 1289 3887 6877 16757 29647 89401 217841 385411 681881 1661521 5010343 8864453 21599773 38214983 115237889 280797049 496794779 878944609 6458332127 11426279917 148541638921