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4742022247200 = 2533527413312311
BaseRepresentation
bin100010100000001011010…
…0011010011001100100000
3121210022222200110102211000
41011000112203103030200
51110143130143402300
614030242133552000
7666412506020640
oct105002643231440
917708880412730
104742022247200
111569097a30587
126470517a5600
1328522b2814b4
1412572d61c520
158353e353c00
hex450168d3320

4742022247200 has 1152 divisors, whose sum is σ = 20147790458880. Its totient is φ = 1053803520000.

The previous prime is 4742022247181. The next prime is 4742022247211. The reversal of 4742022247200 is 27422202474.

4742022247200 is a `hidden beast` number, since 4 + 7 + 4 + 202 + 2 + 247 + 200 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 191 ways as a sum of consecutive naturals, for example, 2051934045 + ... + 2051936355.

It is an arithmetic number, because the mean of its divisors is an integer number (17489401440).

Almost surely, 24742022247200 is an apocalyptic number.

4742022247200 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 4742022247200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10073895229440).

4742022247200 is an abundant number, since it is smaller than the sum of its proper divisors (15405768211680).

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

4742022247200 is a wasteful number, since it uses less digits than its factorization.

4742022247200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2719 (or 2700 counting only the distinct ones).

The product of its (nonzero) digits is 100352, while the sum is 36.

Adding to 4742022247200 its reverse (27422202474), we get a palindrome (4769444449674).

The spelling of 4742022247200 in words is "four trillion, seven hundred forty-two billion, twenty-two million, two hundred forty-seven thousand, two hundred".