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4211620665120 = 2533511873110151
BaseRepresentation
bin111101010010011000001…
…001110101011100100000
3112220121221002022100011000
4331102120021311130200
51023000344342240440
612542443011152000
7613164612661221
oct75223011653440
915817832270130
104211620665120
111384158083540
125802a72a5600
132472007c4bcb
14107bb48d7248
157484971e730
hex3d498275720

4211620665120 has 384 divisors, whose sum is σ = 16084159580160. Its totient is φ = 1020781440000.

The previous prime is 4211620664971. The next prime is 4211620665143. The reversal of 4211620665120 is 215660261124.

4211620665120 is a `hidden beast` number, since 4 + 2 + 1 + 1 + 620 + 6 + 6 + 5 + 1 + 20 = 666.

It is a super-2 number, since 2×42116206651202 (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 414892045 + ... + 414902195.

It is an arithmetic number, because the mean of its divisors is an integer number (41885832240).

Almost surely, 24211620665120 is an apocalyptic number.

4211620665120 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 4211620665120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8042079790080).

4211620665120 is an abundant number, since it is smaller than the sum of its proper divisors (11872538915040).

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

4211620665120 is a wasteful number, since it uses less digits than its factorization.

4211620665120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18917 (or 18903 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 4211620665120 in words is "four trillion, two hundred eleven billion, six hundred twenty million, six hundred sixty-five thousand, one hundred twenty".