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4922355438000 = 243253711132571063
BaseRepresentation
bin100011110100001001100…
…1111110101000110110000
3122102120110102011200220200
41013220103033311012300
51121121440443004000
614245144320035200
71015425361605540
oct107502317650660
918376412150820
104922355438000
111628617356960
12675b9aa62b00
13299239c44c60
1413035978b320
1588095e25500
hex47a133f51b0

4922355438000 has 1920 divisors, whose sum is σ = 23194779439104. Its totient is φ = 939589632000.

The previous prime is 4922355437999. The next prime is 4922355438019. The reversal of 4922355438000 is 8345532294.

4922355438000 is a `hidden beast` number, since 4 + 9 + 2 + 23 + 5 + 543 + 80 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4630625469 + ... + 4630626531.

Almost surely, 24922355438000 is an apocalyptic number.

4922355438000 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 4922355438000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11597389719552).

4922355438000 is an abundant number, since it is smaller than the sum of its proper divisors (18272424001104).

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

4922355438000 is a wasteful number, since it uses less digits than its factorization.

4922355438000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1380 (or 1361 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 4922355438000 in words is "four trillion, nine hundred twenty-two billion, three hundred fifty-five million, four hundred thirty-eight thousand".