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148040902728 = 23322056123649
BaseRepresentation
bin1000100111011111101…
…1001110100001001000
3112011010020002001122100
42021313323032201020
54411141432341403
6152001542153400
713460406624255
oct2116773164110
9464106061570
10148040902728
11578692593a4
1224836722860
1310c637267c4
14724550242c
153cb6aeb2a3
hex2277ece848

148040902728 has 24 divisors (see below), whose sum is σ = 400944111750. Its totient is φ = 49346967552.

The previous prime is 148040902621. The next prime is 148040902741. The reversal of 148040902728 is 827209040841.

148040902728 is a `hidden beast` number, since 1 + 480 + 40 + 90 + 27 + 28 = 666.

148040902728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 125456223204 + 22584679524 = 354198^2 + 150282^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×1480409027282 (a number of 23 digits) contains 22 as substring.

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 5 ways as a sum of consecutive naturals, for example, 1028061753 + ... + 1028061896.

Almost surely, 2148040902728 is an apocalyptic number.

148040902728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

148040902728 is an abundant number, since it is smaller than the sum of its proper divisors (252903209022).

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

148040902728 is a wasteful number, since it uses less digits than its factorization.

148040902728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2056123661 (or 2056123654 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 148040902728 in words is "one hundred forty-eight billion, forty million, nine hundred two thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 2056123649 4112247298 6168370947 8224494596 12336741894 16448989192 18505112841 24673483788 37010225682 49346967576 74020451364 148040902728