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80048484000 = 25325317312853
BaseRepresentation
bin100101010001101000…
…0101110111010100000
321122121201100022112200
41022203100232322200
52302414402442000
6100435044453200
75532450613242
oct1124320567240
9248551308480
1080048484000
1130a48311901
12136200aa200
1377191ac184
143c3539a092
152137899500
hex12a342eea0

80048484000 has 288 divisors, whose sum is σ = 285756451344. Its totient is φ = 21221222400.

The previous prime is 80048483959. The next prime is 80048484073. The reversal of 80048484000 is 48484008.

It can be written as a sum of positive squares in 8 ways, for example, as 6362295696 + 73686188304 = 79764^2 + 271452^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6221574 + ... + 6234426.

Almost surely, 280048484000 is an apocalyptic number.

80048484000 is a gapful number since it is divisible by the number (80) 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 80048484000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142878225672).

80048484000 is an abundant number, since it is smaller than the sum of its proper divisors (205707967344).

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

80048484000 is a wasteful number, since it uses less digits than its factorization.

80048484000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13057 (or 13036 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The spelling of 80048484000 in words is "eighty billion, forty-eight million, four hundred eighty-four thousand".