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4880492352000 = 293453941453
BaseRepresentation
bin100011100000101010000…
…0000110101001000000000
3122021120101220101120220000
41013001110000311020000
51114430222020231000
614214022304520000
71012414102341246
oct107012400651000
918246356346800
104880492352000
111611894775821
12669a57020000
132952c7bb4b55
1412c3079a4796
1586e45ac3000
hex47054035200

4880492352000 has 400 divisors, whose sum is σ = 18179616075192. Its totient is φ = 1301463244800.

The previous prime is 4880492351993. The next prime is 4880492352007. The reversal of 4880492352000 is 2532940884.

4880492352000 is a `hidden beast` number, since 4 + 8 + 80 + 49 + 2 + 3 + 520 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4880492351993) and next prime (4880492352007).

It can be written as a sum of positive squares in 4 ways, for example, as 1228479623424 + 3652012728576 = 1108368^2 + 1911024^2 .

It is a tau number, because it is divible by the number of its divisors (400).

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

It is not an unprimeable number, because it can be changed into a prime (4880492352007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4713274 + ... + 5654726.

Almost surely, 24880492352000 is an apocalyptic number.

4880492352000 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 4880492352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9089808037596).

4880492352000 is an abundant number, since it is smaller than the sum of its proper divisors (13299123723192).

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

4880492352000 is an frugal number, since it uses more digits than its factorization.

4880492352000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 941498 (or 941463 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 4880492352000 in words is "four trillion, eight hundred eighty billion, four hundred ninety-two million, three hundred fifty-two thousand".