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214620036150000 = 2435513138179697
BaseRepresentation
bin110000110011001000011111…
…000001000011001011110000
31001010220110211022221221112210
4300303020133001003023300
5211112313313223300000
62040243030011052120
763130533366211605
oct6063103701031360
91033813738857483
10214620036150000
1162425934301588
12200a2973a41040
13929a775b94290
143add94534c6ac
1519c2b5dd17350
hexc3321f0432f0

214620036150000 has 480 divisors, whose sum is σ = 746856948470976. Its totient is φ = 52790630400000.

The previous prime is 214620036149963. The next prime is 214620036150001. The reversal of 214620036150000 is 51630026412.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 214620036150000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214620036150001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2692910152 + ... + 2692989848.

Almost surely, 2214620036150000 is an apocalyptic number.

214620036150000 is a gapful number since it is divisible by the number (20) 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 214620036150000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373428474235488).

214620036150000 is an abundant number, since it is smaller than the sum of its proper divisors (532236912320976).

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

214620036150000 is a wasteful number, since it uses less digits than its factorization.

214620036150000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81127 (or 81101 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 214620036150000 its reverse (51630026412), we get a palindrome (214671666176412).

The spelling of 214620036150000 in words is "two hundred fourteen trillion, six hundred twenty billion, thirty-six million, one hundred fifty thousand".