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12188764416 = 28321175217
BaseRepresentation
bin10110101101000000…
…11100100100000000
31011110110022101110010
423112200130210000
5144430310430131
65333251304520
7611022534213
oct132640344400
934413271403
1012188764416
115195270124
122441bab140
1311c32b6a4a
14838b1777a
154b510ab46
hex2d681c900

12188764416 has 72 divisors (see below), whose sum is σ = 32594065504. Its totient is φ = 4043612160.

The previous prime is 12188764369. The next prime is 12188764429. The reversal of 12188764416 is 61446788121.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 124440 + ... + 199656.

Almost surely, 212188764416 is an apocalyptic number.

12188764416 is a gapful number since it is divisible by the number (16) 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 12188764416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16297032752).

12188764416 is an abundant number, since it is smaller than the sum of its proper divisors (20405301088).

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

12188764416 is an equidigital number, since it uses as much as digits as its factorization.

12188764416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75447 (or 75433 counting only the distinct ones).

The product of its digits is 516096, while the sum is 48.

The spelling of 12188764416 in words is "twelve billion, one hundred eighty-eight million, seven hundred sixty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 211 256 384 422 633 768 844 1266 1688 2532 3376 5064 6752 10128 13504 20256 27008 40512 54016 75217 81024 150434 162048 225651 300868 451302 601736 902604 1203472 1805208 2406944 3610416 4813888 7220832 9627776 14441664 15870787 19255552 28883328 31741574 47612361 57766656 63483148 95224722 126966296 190449444 253932592 380898888 507865184 761797776 1015730368 1523595552 2031460736 3047191104 4062921472 6094382208 12188764416