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5229619200000 = 21434551397
BaseRepresentation
bin100110000011001110110…
…0110000100000000000000
3200111221120011011001220000
41030012131212010000000
51141140230003400000
615042242012520000
71046553560520666
oct114063546040000
920457504131800
105229619200000
111736961780048
12705650a80000
132bc1c68ca190
141411874a8c36
159107b150000
hex4c19d984000

5229619200000 has 1800 divisors, whose sum is σ = 21247527586824. Its totient is φ = 1274019840000.

The previous prime is 5229619199971. The next prime is 5229619200011. The reversal of 5229619200000 is 29169225.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 5056669679616 + 172949520384 = 2248704^2 + 415872^2 .

It is a tau number, because it is divible by the number of its divisors (1800).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 53913599952 + ... + 53913600048.

Almost surely, 25229619200000 is an apocalyptic number.

5229619200000 is a gapful number since it is divisible by the number (50) 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 5229619200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10623763793412).

5229619200000 is an abundant number, since it is smaller than the sum of its proper divisors (16017908386824).

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

5229619200000 is an frugal number, since it uses more digits than its factorization.

5229619200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 5229619200000 in words is "five trillion, two hundred twenty-nine billion, six hundred nineteen million, two hundred thousand".