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4922474946400 = 2552113121633571
BaseRepresentation
bin100011110100001101001…
…0111101101111101100000
3122102120202202001100121201
41013220122113231331200
51121122212041241100
614245204225330544
71015431342451534
oct107503227557540
918376682040551
104922474946400
111628678862330
12676012a96a54
1329925892919b
1413036b5b9bc4
15880a168036a
hex47a1a5edf60

4922474946400 has 432 divisors, whose sum is σ = 13632893313984. Its totient is φ = 1721139840000.

The previous prime is 4922474946371. The next prime is 4922474946401. The reversal of 4922474946400 is 46494742294.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4922474946401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1378456615 + ... + 1378460185.

It is an arithmetic number, because the mean of its divisors is an integer number (31557623412).

Almost surely, 24922474946400 is an apocalyptic number.

4922474946400 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 4922474946400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6816446656992).

4922474946400 is an abundant number, since it is smaller than the sum of its proper divisors (8710418367584).

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

4922474946400 is a wasteful number, since it uses less digits than its factorization.

4922474946400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3827 (or 3783 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 55.

The spelling of 4922474946400 in words is "four trillion, nine hundred twenty-two billion, four hundred seventy-four million, nine hundred forty-six thousand, four hundred".