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4806246400240 = 245132145479243
BaseRepresentation
bin100010111110000101010…
…0111000000000011110000
3122000110202120112110011211
41011330022213000003300
51112221143034301430
614115543100245504
71004145160223425
oct105741247000360
918013676473154
104806246400240
11159335488130a
12657596240894
1328b2c4bc2c0c
141288a30d3d4c
158504c85772a
hex45f0a9c00f0

4806246400240 has 40 divisors (see below), whose sum is σ = 11182982265648. Its totient is φ = 1921043182080.

The previous prime is 4806246400231. The next prime is 4806246400243. The reversal of 4806246400240 is 420046426084.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×48062464002403 (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 4806246400193 and 4806246400202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4806246400243) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 22633942 + ... + 22845301.

Almost surely, 24806246400240 is an apocalyptic number.

4806246400240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4806246400240 is an abundant number, since it is smaller than the sum of its proper divisors (6376735865408).

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

4806246400240 is a wasteful number, since it uses less digits than its factorization.

4806246400240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45480577 (or 45480571 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 40.

The spelling of 4806246400240 in words is "four trillion, eight hundred six billion, two hundred forty-six million, four hundred thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1321 2642 5284 6605 10568 13210 21136 26420 52840 105680 45479243 90958486 181916972 227396215 363833944 454792430 727667888 909584860 1819169720 3638339440 60078080003 120156160006 240312320012 300390400015 480624640024 600780800030 961249280048 1201561600060 2403123200120 4806246400240