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48003490080 = 25345713231101
BaseRepresentation
bin101100101101001110…
…110010000100100000
311120220110000221220000
4230231032302010200
51241302343140310
634015201220000
73316366635060
oct545516620440
9146813027800
1048003490080
11193a379a657
129378331600
1346b0248100
1424755033a0
1513ae4714c0
hexb2d3b2120

48003490080 has 1440 divisors, whose sum is σ = 218558850048. Its totient is φ = 9704448000.

The previous prime is 48003490039. The next prime is 48003490081. The reversal of 48003490080 is 8009430084.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is not an unprimeable number, because it can be changed into a prime (48003490081) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 475282030 + ... + 475282130.

Almost surely, 248003490080 is an apocalyptic number.

48003490080 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 48003490080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109279425024).

48003490080 is an abundant number, since it is smaller than the sum of its proper divisors (170555359968).

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

48003490080 is a wasteful number, since it uses less digits than its factorization.

48003490080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 48003490080 in words is "forty-eight billion, three million, four hundred ninety thousand, eighty".