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46247423040 = 2634572132801
BaseRepresentation
bin101011000100100011…
…111010110001000000
311102101001200111210000
4223010203322301000
51224203320014130
633125030440000
73225024416100
oct530443726100
9142331614700
1046247423040
1118682512485
128b68203000
13449049aaa0
14234a1c5200
15130a1e5260
hexac48fac40

46247423040 has 840 divisors, whose sum is σ = 206163303192. Its totient is φ = 9754214400.

The previous prime is 46247423023. The next prime is 46247423041. The reversal of 46247423040 is 4032474264.

46247423040 is a `hidden beast` number, since 4 + 624 + 7 + 4 + 23 + 0 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 796594176 + 45450828864 = 28224^2 + 213192^2 .

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 46247422986 and 46247423004.

It is not an unprimeable number, because it can be changed into a prime (46247423041) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 16509640 + ... + 16512440.

Almost surely, 246247423040 is an apocalyptic number.

46247423040 is a gapful number since it is divisible by the number (40) 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 46247423040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103081651596).

46247423040 is an abundant number, since it is smaller than the sum of its proper divisors (159915880152).

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

46247423040 is a wasteful number, since it uses less digits than its factorization.

46247423040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2857 (or 2831 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 36.

The spelling of 46247423040 in words is "forty-six billion, two hundred forty-seven million, four hundred twenty-three thousand, forty".