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213914308187052 = 2233114094915211721
BaseRepresentation
bin110000101000110111001110…
…010110100001001110101100
31001001102000012221021212211000
4300220313032112201032230
5211014233000343441202
62034542513155400300
763025540654413624
oct6050671626411654
91031360187255730
10213914308187052
1162183604267610
121bbaa038bb3090
139249056b18665
143ab771740d884
1519ae606e6091c
hexc28dce5a13ac

213914308187052 has 384 divisors, whose sum is σ = 609244878412800. Its totient is φ = 64371041280000.

The previous prime is 213914308187011. The next prime is 213914308187059. The reversal of 213914308187052 is 250781803419312.

213914308187052 is a `hidden beast` number, since 2 + 1 + 3 + 9 + 1 + 430 + 81 + 87 + 0 + 52 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 213914308187052.

It is not an unprimeable number, because it can be changed into a prime (213914308187059) 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 127 ways as a sum of consecutive naturals, for example, 124296517552 + ... + 124296519272.

It is an arithmetic number, because the mean of its divisors is an integer number (1586575204200).

Almost surely, 2213914308187052 is an apocalyptic number.

213914308187052 is a gapful number since it is divisible by the number (22) 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 213914308187052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304622439206400).

213914308187052 is an abundant number, since it is smaller than the sum of its proper divisors (395330570225748).

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

213914308187052 is a wasteful number, since it uses less digits than its factorization.

213914308187052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3166 (or 3158 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 213914308187052 in words is "two hundred thirteen trillion, nine hundred fourteen billion, three hundred eight million, one hundred eighty-seven thousand, fifty-two".