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48985920000 = 29325473233
BaseRepresentation
bin101101100111110010…
…011101001000000000
311200102220122120101100
4231213302131020000
51300310343420000
634300454134400
73352626310203
oct554762351000
9150386576340
1048985920000
1119858302806
1295b1351400
134808942ba4
142529b9993a
15141a831a00
hexb67c9d200

48985920000 has 600 divisors, whose sum is σ = 179852963004. Its totient is φ = 12828672000.

The previous prime is 48985919993. The next prime is 48985920043. The reversal of 48985920000 is 2958984.

48985920000 is a `hidden beast` number, since 489 + 85 + 92 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 7741184256 + 41244735744 = 87984^2 + 203088^2 .

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 210239884 + ... + 210240116.

Almost surely, 248985920000 is an apocalyptic number.

48985920000 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 48985920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89926481502).

48985920000 is an abundant number, since it is smaller than the sum of its proper divisors (130867043004).

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

48985920000 is an equidigital number, since it uses as much as digits as its factorization.

48985920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 48985920000 in words is "forty-eight billion, nine hundred eighty-five million, nine hundred twenty thousand".