Search a number
-
+
148047588192 = 2537297596859
BaseRepresentation
bin1000100111100001010…
…0101110101101100000
3112011010200122201101010
42021320110232231200
54411200140310232
6152002341340520
713460520510360
oct2117024565540
9464120581333
10148047588192
1157872005279
1224838a07740
1310c64c277ba
1472463629a0
153cb74bc0cc
hex227852eb60

148047588192 has 96 divisors (see below), whose sum is σ = 459458092800. Its totient is φ = 40840708608.

The previous prime is 148047588167. The next prime is 148047588193. The reversal of 148047588192 is 291885740841.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148047588193) 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 15 ways as a sum of consecutive naturals, for example, 3778942 + ... + 3817917.

It is an arithmetic number, because the mean of its divisors is an integer number (4786021800).

Almost surely, 2148047588192 is an apocalyptic number.

148047588192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

148047588192 is an abundant number, since it is smaller than the sum of its proper divisors (311410504608).

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

148047588192 is a wasteful number, since it uses less digits than its factorization.

148047588192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7596908 (or 7596900 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 57.

The spelling of 148047588192 in words is "one hundred forty-eight billion, forty-seven million, five hundred eighty-eight thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 56 58 84 87 96 112 116 168 174 203 224 232 336 348 406 464 609 672 696 812 928 1218 1392 1624 2436 2784 3248 4872 6496 9744 19488 7596859 15193718 22790577 30387436 45581154 53178013 60774872 91162308 106356026 121549744 159534039 182324616 212712052 220308911 243099488 319068078 364649232 425424104 440617822 638136156 660926733 729298464 850848208 881235644 1276272312 1321853466 1542162377 1701696416 1762471288 2552544624 2643706932 3084324754 3524942576 4626487131 5105089248 5287413864 6168649508 7049885152 9252974262 10574827728 12337299016 18505948524 21149655456 24674598032 37011897048 49349196064 74023794096 148047588192