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48479958000 = 24365341811
BaseRepresentation
bin101101001001101000…
…010111001111110000
311122010122121001000000
4231021220113033300
51243241332124000
634134341430000
73334243562265
oct551150271760
9148118531000
1048479958000
1119618743aa1
12948ba0b300
134757b811a6
1424bc8d126c
1513db1dc000
hexb49a173f0

48479958000 has 560 divisors, whose sum is σ = 180265149792. Its totient is φ = 12597120000.

The previous prime is 48479957989. The next prime is 48479958011. The reversal of 48479958000 is 85997484.

48479958000 is a `hidden beast` number, since 4 + 8 + 479 + 95 + 80 + 0 + 0 = 666.

48479958000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (48479957989) and next prime (48479958011).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 59777595 + ... + 59778405.

Almost surely, 248479958000 is an apocalyptic number.

48479958000 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 48479958000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90132574896).

48479958000 is an abundant number, since it is smaller than the sum of its proper divisors (131785191792).

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

48479958000 is an equidigital number, since it uses as much as digits as its factorization.

48479958000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 893 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 48479958000 in words is "forty-eight billion, four hundred seventy-nine million, nine hundred fifty-eight thousand".