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212516518451 = 5912750035669
BaseRepresentation
bin1100010111101011111…
…0001011101000110011
3202022112122022200221212
43011322332023220303
511440213212042301
6241343450310335
721232233413306
oct3057276135063
9668478280855
10212516518451
1182145041826
123522b4283ab
131706a4a0603
14a400554b3d
1557dc2224bb
hex317af8ba33

212516518451 has 16 divisors (see below), whose sum is σ = 217902182400. Its totient is φ = 207191563488.

The previous prime is 212516518381. The next prime is 212516518463. The reversal of 212516518451 is 154815615212.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-212516518451 is a prime.

It is a super-2 number, since 2×2125165184512 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 212516518399 and 212516518408.

It is not an unprimeable number, because it can be changed into a prime (212516518351) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37484645 + ... + 37490313.

It is an arithmetic number, because the mean of its divisors is an integer number (13618886400).

Almost surely, 2212516518451 is an apocalyptic number.

212516518451 is a deficient number, since it is larger than the sum of its proper divisors (5385663949).

212516518451 is a wasteful number, since it uses less digits than its factorization.

212516518451 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10858.

The product of its digits is 96000, while the sum is 41.

The spelling of 212516518451 in words is "two hundred twelve billion, five hundred sixteen million, five hundred eighteen thousand, four hundred fifty-one".

Divisors: 1 59 127 5003 5669 7493 295177 334471 635381 719963 28362007 37487479 42477817 1673358413 3601974889 212516518451