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12628839432 = 23311439108967
BaseRepresentation
bin10111100001011110…
…01100110000001000
31012121010101111212210
423300233030300020
5201330440330212
65445051505120
7624645235566
oct136057146010
935533344783
1012628839432
1153a0717a90
1225454581a0
13126351a071
1487b350a36
154dda8853c
hex2f0bccc08

12628839432 has 64 divisors (see below), whose sum is σ = 34521062400. Its totient is φ = 3818168640.

The previous prime is 12628839407. The next prime is 12628839449. The reversal of 12628839432 is 23493882621.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61413 + ... + 170379.

It is an arithmetic number, because the mean of its divisors is an integer number (539391600).

Almost surely, 212628839432 is an apocalyptic number.

12628839432 is a gapful number since it is divisible by the number (12) 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 12628839432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17260531200).

12628839432 is an abundant number, since it is smaller than the sum of its proper divisors (21892222968).

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

12628839432 is a wasteful number, since it uses less digits than its factorization.

12628839432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109426 (or 109422 counting only the distinct ones).

The product of its digits is 995328, while the sum is 48.

The spelling of 12628839432 in words is "twelve billion, six hundred twenty-eight million, eight hundred thirty-nine thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 439 878 1317 1756 2634 3512 4829 5268 9658 10536 14487 19316 28974 38632 57948 108967 115896 217934 326901 435868 653802 871736 1198637 1307604 2397274 2615208 3595911 4794548 7191822 9589096 14383644 28767288 47836513 95673026 143509539 191346052 287019078 382692104 526201643 574038156 1052403286 1148076312 1578604929 2104806572 3157209858 4209613144 6314419716 12628839432