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46628472200 = 2352152692
BaseRepresentation
bin101011011011010001…
…100000010110001000
311110100121200210221212
4223123101200112020
51230443342102300
633230521552252
73240332321432
oct533321402610
9143317623855
1046628472200
1118858614342
129053945688
13452140566b
142384a55652
15132d8b3935
hexadb460588

46628472200 has 36 divisors (see below), whose sum is σ = 108418298415. Its totient is φ = 18650167360.

The previous prime is 46628472199. The next prime is 46628472221. The reversal of 46628472200 is 227482664.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 14681199556 + 31947272644 = 121166^2 + 178738^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=152690.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3046166 + ... + 3061434.

Almost surely, 246628472200 is an apocalyptic number.

46628472200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46628472200 is an abundant number, since it is smaller than the sum of its proper divisors (61789826215).

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

46628472200 is an frugal number, since it uses more digits than its factorization.

46628472200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30554 (or 15276 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 41.

The spelling of 46628472200 in words is "forty-six billion, six hundred twenty-eight million, four hundred seventy-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 15269 30538 61076 76345 122152 152690 305380 381725 610760 763450 1526900 3053800 233142361 466284722 932569444 1165711805 1865138888 2331423610 4662847220 5828559025 9325694440 11657118050 23314236100 46628472200