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12702772608 = 273311106367
BaseRepresentation
bin10111101010010010…
…01110110110000000
31012210021111201010120
423311021032312000
5202003402210413
65500252300240
7626533533321
oct136511166600
935707451116
1012702772608
115429425089
122566171680
131275934bc6
148870b8448
154e52de723
hex2f524ed80

12702772608 has 64 divisors (see below), whose sum is σ = 33850552320. Its totient is φ = 4220602880.

The previous prime is 12702772583. The next prime is 12702772679. The reversal of 12702772608 is 80627720721.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×127027726082 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12702772608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66241 + ... + 172607.

It is an arithmetic number, because the mean of its divisors is an integer number (528914880).

Almost surely, 212702772608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12702772608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16925276160).

12702772608 is an abundant number, since it is smaller than the sum of its proper divisors (21147779712).

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

12702772608 is a wasteful number, since it uses less digits than its factorization.

12702772608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106695 (or 106683 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 42.

The spelling of 12702772608 in words is "twelve billion, seven hundred two million, seven hundred seventy-two thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 311 384 622 933 1244 1866 2488 3732 4976 7464 9952 14928 19904 29856 39808 59712 106367 119424 212734 319101 425468 638202 850936 1276404 1701872 2552808 3403744 5105616 6807488 10211232 13614976 20422464 33080137 40844928 66160274 99240411 132320548 198480822 264641096 396961644 529282192 793923288 1058564384 1587846576 2117128768 3175693152 4234257536 6351386304 12702772608