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12785263216 = 241173995117
BaseRepresentation
bin10111110100000111…
…11010001001110000
31020000000201122222021
423322003322021300
5202141011410331
65512400321224
7631554641605
oct137203721160
936000648867
1012785263216
115470a47540
122589913214
131289a57b0b
1489402c6ac
154ec686211
hex2fa0fa270

12785263216 has 40 divisors (see below), whose sum is σ = 27393608304. Its totient is φ = 5731868160.

The previous prime is 12785263213. The next prime is 12785263217. The reversal of 12785263216 is 61236258721.

12785263216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12785263213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 484711 + ... + 510406.

Almost surely, 212785263216 is an apocalyptic number.

12785263216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12785263216 is an abundant number, since it is smaller than the sum of its proper divisors (14608345088).

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

12785263216 is a wasteful number, since it uses less digits than its factorization.

12785263216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 995209 (or 995203 counting only the distinct ones).

The product of its digits is 241920, while the sum is 43.

The spelling of 12785263216 in words is "twelve billion, seven hundred eighty-five million, two hundred sixty-three thousand, two hundred sixteen".

Divisors: 1 2 4 8 11 16 22 44 73 88 146 176 292 584 803 1168 1606 3212 6424 12848 995117 1990234 3980468 7960936 10946287 15921872 21892574 43785148 72643541 87570296 145287082 175140592 290574164 581148328 799078951 1162296656 1598157902 3196315804 6392631608 12785263216