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12911982336 = 283311169823
BaseRepresentation
bin11000000011001110…
…10011011100000000
31020022212011122221000
430001213103130000
5202420431413321
65533124332000
7634654016241
oct140147233400
936285148830
1012911982336
115526528490
122604244000
1312aa095146
148a6bb6cc8
15508867826
hex3019d3700

12911982336 has 144 divisors (see below), whose sum is σ = 41654430720. Its totient is φ = 3912698880.

The previous prime is 12911982331. The next prime is 12911982371. The reversal of 12911982336 is 63328911921.

It is a happy number.

12911982336 is a `hidden beast` number, since 129 + 1 + 198 + 2 + 336 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 12911982291 and 12911982300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12911982331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8880 + ... + 160943.

It is an arithmetic number, because the mean of its divisors is an integer number (289266880).

Almost surely, 212911982336 is an apocalyptic number.

12911982336 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 12911982336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20827215360).

12911982336 is an abundant number, since it is smaller than the sum of its proper divisors (28742448384).

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

12911982336 is a wasteful number, since it uses less digits than its factorization.

12911982336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169859 (or 169839 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The spelling of 12911982336 in words is "twelve billion, nine hundred eleven million, nine hundred eighty-two thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 128 132 144 176 192 198 216 256 264 288 297 352 384 396 432 528 576 594 704 768 792 864 1056 1152 1188 1408 1584 1728 2112 2304 2376 2816 3168 3456 4224 4752 6336 6912 8448 9504 12672 19008 25344 38016 76032 169823 339646 509469 679292 1018938 1358584 1528407 1868053 2037876 2717168 3056814 3736106 4075752 4585221 5434336 5604159 6113628 7472212 8151504 9170442 10868672 11208318 12227256 14944424 16303008 16812477 18340884 21737344 22416636 24454512 29888848 32606016 33624954 36681768 43474688 44833272 48909024 50437431 59777696 65212032 67249908 73363536 89666544 97818048 100874862 119555392 130424064 134499816 146727072 179333088 195636096 201749724 239110784 268999632 293454144 358666176 391272192 403499448 478221568 537999264 586908288 717332352 806998896 1075998528 1173816576 1434664704 1613997792 2151997056 3227995584 4303994112 6455991168 12911982336