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148056088720 = 2451850701109
BaseRepresentation
bin1000100111100011010…
…1001010000010010000
3112011011021122120220111
42021320311022002100
54411204324314340
6152003243451104
713460652663301
oct2117065120220
9464137576814
10148056088720
1157876890901
122483b826a94
1310c669129b7
1472475367a8
153cb80eaaea
hex2278d4a090

148056088720 has 20 divisors (see below), whose sum is σ = 344230406460. Its totient is φ = 59222435456.

The previous prime is 148056088711. The next prime is 148056088783. The reversal of 148056088720 is 27880650841.

It can be written as a sum of positive squares in 2 ways, for example, as 18006419344 + 130049669376 = 134188^2 + 360624^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-3 number, since 3×1480560887203 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 925350475 + ... + 925350634.

It is an arithmetic number, because the mean of its divisors is an integer number (17211520323).

Almost surely, 2148056088720 is an apocalyptic number.

148056088720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

148056088720 is an abundant number, since it is smaller than the sum of its proper divisors (196174317740).

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

148056088720 is a wasteful number, since it uses less digits than its factorization.

148056088720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1850701122 (or 1850701116 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 49.

The spelling of 148056088720 in words is "one hundred forty-eight billion, fifty-six million, eighty-eight thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1850701109 3701402218 7402804436 9253505545 14805608872 18507011090 29611217744 37014022180 74028044360 148056088720