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5230187510400 = 2732523714932941
BaseRepresentation
bin100110000011011111101…
…1101111111101010000000
3200112000000202112020012100
41030012333131333222000
51141142411000313100
615042414233430400
71046603631213426
oct114067735775200
920460022466170
105230187510400
111737123554066
1270578b26b400
132bc28757ba18
141411dcb63116
15910b0ead400
hex4c1bf77fa80

5230187510400 has 576 divisors, whose sum is σ = 19296122391000. Its totient is φ = 1347873177600.

The previous prime is 5230187510389. The next prime is 5230187510411. The reversal of 5230187510400 is 40157810325.

5230187510400 is a `hidden beast` number, since 5 + 23 + 0 + 1 + 87 + 510 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5230187510389) and next prime (5230187510411).

It can be written as a sum of positive squares in 12 ways, for example, as 1145293793856 + 4084893716544 = 1070184^2 + 2021112^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×52301875104002 (a number of 26 digits) contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 158757930 + ... + 158790870.

Almost surely, 25230187510400 is an apocalyptic number.

5230187510400 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 5230187510400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9648061195500).

5230187510400 is an abundant number, since it is smaller than the sum of its proper divisors (14065934880600).

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

5230187510400 is a wasteful number, since it uses less digits than its factorization.

5230187510400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33157 (or 33137 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 5230187510400 in words is "five trillion, two hundred thirty billion, one hundred eighty-seven million, five hundred ten thousand, four hundred".