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12189735936 = 210327188953
BaseRepresentation
bin10110101101001000…
…01001110000000000
31011110112010202010100
423112210021300000
5144431033022221
65333324202400
7611034021510
oct132644116000
934415122110
1012189735936
115195874034
122442399400
1311c3567001
14838ccb840
154b524d926
hex2d6909c00

12189735936 has 132 divisors (see below), whose sum is σ = 40226039152. Its totient is φ = 3482763264.

The previous prime is 12189735917. The next prime is 12189735989. The reversal of 12189735936 is 63953798121.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29965 + ... + 158988.

Almost surely, 212189735936 is an apocalyptic number.

12189735936 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 12189735936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20113019576).

12189735936 is an abundant number, since it is smaller than the sum of its proper divisors (28036303216).

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

12189735936 is a wasteful number, since it uses less digits than its factorization.

12189735936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188986 (or 188965 counting only the distinct ones).

The product of its digits is 2449440, while the sum is 54.

The spelling of 12189735936 in words is "twelve billion, one hundred eighty-nine million, seven hundred thirty-five thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1024 1152 1344 1536 1792 2016 2304 2688 3072 3584 4032 4608 5376 7168 8064 9216 10752 16128 21504 32256 64512 188953 377906 566859 755812 1133718 1322671 1511624 1700577 2267436 2645342 3023248 3401154 3968013 4534872 5290684 6046496 6802308 7936026 9069744 10581368 11904039 12092992 13604616 15872052 18139488 21162736 23808078 24185984 27209232 31744104 36278976 42325472 47616156 48371968 54418464 63488208 72557952 84650944 95232312 96743936 108836928 126976416 145115904 169301888 190464624 193487872 217673856 253952832 290231808 338603776 380929248 435347712 507905664 580463616 677207552 761858496 870695424 1015811328 1354415104 1523716992 1741390848 2031622656 3047433984 4063245312 6094867968 12189735936