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8148041800 = 235240740209
BaseRepresentation
bin1111001011010100…
…10100000001001000
3210000211222102001221
413211222110001020
5113141344314200
63424304451424
7405626132623
oct74552240110
923024872057
108148041800
1135013a2448
1216b4919b74
139cb107912
14574202dba
1532a4de91a
hex1e5a94048

8148041800 has 24 divisors (see below), whose sum is σ = 18944197650. Its totient is φ = 3259216640.

The previous prime is 8148041747. The next prime is 8148041819. The reversal of 8148041800 is 81408418.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 3509614564 + 4638427236 = 59242^2 + 68106^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 20369905 + ... + 20370304.

Almost surely, 28148041800 is an apocalyptic number.

It is an amenable number.

8148041800 is an abundant number, since it is smaller than the sum of its proper divisors (10796155850).

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

8148041800 is a wasteful number, since it uses less digits than its factorization.

8148041800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40740225 (or 40740216 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 34.

The square root of 8148041800 is about 90266.5043080765. The cubic root of 8148041800 is about 2012.2614909660.

The spelling of 8148041800 in words is "eight billion, one hundred forty-eight million, forty-one thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 40740209 81480418 162960836 203701045 325921672 407402090 814804180 1018505225 1629608360 2037010450 4074020900 8148041800