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5217872774400 = 2834521113591193
BaseRepresentation
bin100101111101110000101…
…1101000000010100000000
3200110211020112011211020000
41023323201131000110000
51140442200412240100
615033020242120000
71045656515534136
oct113734135002400
920424215154200
105217872774400
1117319841736a0
12703313050000
132bb074159ca0
14140791417756
1590adecbc900
hex4bee1740500

5217872774400 has 2160 divisors, whose sum is σ = 23069215350720. Its totient is φ = 1146883276800.

The previous prime is 5217872774399. The next prime is 5217872774407. The reversal of 5217872774400 is 44772787125.

It is a happy number.

5217872774400 is a `hidden beast` number, since 5 + 2 + 178 + 7 + 27 + 7 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5217872774407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 4373740204 + ... + 4373741396.

It is an arithmetic number, because the mean of its divisors is an integer number (10680192292).

Almost surely, 25217872774400 is an apocalyptic number.

5217872774400 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 5217872774400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11534607675360).

5217872774400 is an abundant number, since it is smaller than the sum of its proper divisors (17851342576320).

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

5217872774400 is a wasteful number, since it uses less digits than its factorization.

5217872774400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1314 (or 1286 counting only the distinct ones).

The product of its (nonzero) digits is 6146560, while the sum is 54.

The spelling of 5217872774400 in words is "five trillion, two hundred seventeen billion, eight hundred seventy-two million, seven hundred seventy-four thousand, four hundred".