Search a number
-
+
148057299920 = 24515112256399
BaseRepresentation
bin1000100111100011100…
…1110001101111010000
3112011011100221010100202
42021320321301233100
54411210132044140
6152003325434332
713460666166425
oct2117071615720
9464140833322
10148057299920
11578775388a2
122484010b9a8
1310c66c4809a
14724776dd4c
153cb8289915
hex2278e71bd0

148057299920 has 40 divisors (see below), whose sum is σ = 346512940800. Its totient is φ = 58830710400.

The previous prime is 148057299913. The next prime is 148057299931. The reversal of 148057299920 is 29992750841.

148057299920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 6116120 + ... + 6140279.

It is an arithmetic number, because the mean of its divisors is an integer number (8662823520).

Almost surely, 2148057299920 is an apocalyptic number.

148057299920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

148057299920 is an abundant number, since it is smaller than the sum of its proper divisors (198455640880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

148057299920 is a wasteful number, since it uses less digits than its factorization.

148057299920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12256563 (or 12256557 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 56.

The spelling of 148057299920 in words is "one hundred forty-eight billion, fifty-seven million, two hundred ninety-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 151 302 604 755 1208 1510 2416 3020 6040 12080 12256399 24512798 49025596 61281995 98051192 122563990 196102384 245127980 490255960 980511920 1850716249 3701432498 7402864996 9253581245 14805729992 18507162490 29611459984 37014324980 74028649960 148057299920