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2516436134121 = 3713194710322189
BaseRepresentation
bin100100100111100111010…
…010000010100011101001
322220120100202112200112210
4210213213102002203221
5312212130122242441
65204011303355333
7346543430133660
oct44474722024351
98816322480483
102516436134121
1189023a65a0a8
12347851452b49
131533b691b9a0
1489b20933dd7
15456d1a56616
hex249e74828e9

2516436134121 has 64 divisors (see below), whose sum is σ = 4439367475200. Its totient is φ = 1230735119616.

The previous prime is 2516436134117. The next prime is 2516436134153. The reversal of 2516436134121 is 1214316346152.

It is not a de Polignac number, because 2516436134121 - 22 = 2516436134117 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 2516436134121.

It is not an unprimeable number, because it can be changed into a prime (2516436134101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4917306 + ... + 5404883.

It is an arithmetic number, because the mean of its divisors is an integer number (69365116800).

Almost surely, 22516436134121 is an apocalyptic number.

2516436134121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2516436134121 is a deficient number, since it is larger than the sum of its proper divisors (1922931341079).

2516436134121 is a wasteful number, since it uses less digits than its factorization.

2516436134121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10322278.

The product of its digits is 103680, while the sum is 39.

The spelling of 2516436134121 in words is "two trillion, five hundred sixteen billion, four hundred thirty-six million, one hundred thirty-four thousand, one hundred twenty-one".

Divisors: 1 3 7 13 19 21 39 47 57 91 133 141 247 273 329 399 611 741 893 987 1729 1833 2679 4277 5187 6251 11609 12831 18753 34827 81263 243789 10322189 30966567 72255323 134188457 196121591 216765969 402565371 485142883 588364773 939319199 1372851137 1455428649 2549580683 2817957597 3396000181 4118553411 6306857479 7648742049 9217714777 10188000543 17847064781 18920572437 27653144331 44148002353 53541194343 64524003439 119830292101 132444007059 193572010317 359490876303 838812044707 2516436134121