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1648148148 = 22348276151
BaseRepresentation
bin110001000111100…
…1011111010110100
311020212021121020000
41202033023322310
511333411220043
6431313311300
755562012433
oct14217137264
94225247200
101648148148
11776378109
1239bb65530
132035c32ba
14118c6911a
1599a602d3
hex623cbeb4

1648148148 has 60 divisors (see below), whose sum is σ = 4314496032. Its totient is φ = 548629200.

The previous prime is 1648148069. The next prime is 1648148167. The reversal of 1648148148 is 8418418461.

1648148148 is a `hidden beast` number, since 164 + 8 + 1 + 481 + 4 + 8 = 666.

1648148148 is a modest number, since divided by 148148 gives 1648 as remainder.

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 264873 + ... + 271023.

Almost surely, 21648148148 is an apocalyptic number.

1648148148 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1648148148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2157248016).

1648148148 is an abundant number, since it is smaller than the sum of its proper divisors (2666347884).

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

1648148148 is a wasteful number, since it uses less digits than its factorization.

1648148148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6994 (or 6983 counting only the distinct ones).

The product of its digits is 196608, while the sum is 45.

The square root of 1648148148 is about 40597.3909013868. The cubic root of 1648148148 is about 1181.2235102147.

The spelling of 1648148148 in words is "one billion, six hundred forty-eight million, one hundred forty-eight thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 827 1654 2481 3308 4962 6151 7443 9924 12302 14886 18453 22329 24604 29772 36906 44658 55359 66987 73812 89316 110718 133974 166077 221436 267948 332154 498231 664308 996462 1992924 5086877 10173754 15260631 20347508 30521262 45781893 61042524 91563786 137345679 183127572 274691358 412037037 549382716 824074074 1648148148