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4048330069980 = 22345721729314771
BaseRepresentation
bin111010111010010011010…
…001101001011111011100
3112100000110002020122020000
4322322103101221133130
51012311434444214410
612335435511054300
7565324251553200
oct72722321513734
915300402218200
104048330069980
11132098386a569
12554715671390
132349a98b9991
14ddd23d74b00
157048de3adc0
hex3ae934697dc

4048330069980 has 2880 divisors, whose sum is σ = 17299238584320. Its totient is φ = 785214259200.

The previous prime is 4048330069957. The next prime is 4048330070047. The reversal of 4048330069980 is 899600338404.

It is a happy number.

4048330069980 is a `hidden beast` number, since 40 + 483 + 30 + 0 + 6 + 9 + 98 + 0 = 666.

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 959 ways as a sum of consecutive naturals, for example, 57018733345 + ... + 57018733415.

It is an arithmetic number, because the mean of its divisors is an integer number (6006680064).

Almost surely, 24048330069980 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4048330069980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8649619292160).

4048330069980 is an abundant number, since it is smaller than the sum of its proper divisors (13250908514340).

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

4048330069980 is a wasteful number, since it uses less digits than its factorization.

4048330069980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 4048330069980 in words is "four trillion, forty-eight billion, three hundred thirty million, sixty-nine thousand, nine hundred eighty".