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12910850784 = 2532134218191
BaseRepresentation
bin11000000011000101…
…11111001011100000
31020022210001011201200
430001202333023200
5202420134211114
65533044201200
7634641264246
oct140142771340
936283034650
1012910850784
115525925317
122603999200
1312a9a8a0a0
148a69a0796
155086e2409
hex3018bf2e0

12910850784 has 144 divisors (see below), whose sum is σ = 39638237184. Its totient is φ = 3962649600.

The previous prime is 12910850783. The next prime is 12910850801. The reversal of 12910850784 is 48705801921.

12910850784 is a `hidden beast` number, since 129 + 10 + 8 + 507 + 8 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12910850783) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1572129 + ... + 1580319.

It is an arithmetic number, because the mean of its divisors is an integer number (275265536).

Almost surely, 212910850784 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 12910850784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19819118592).

12910850784 is an abundant number, since it is smaller than the sum of its proper divisors (26727386400).

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

12910850784 is a wasteful number, since it uses less digits than its factorization.

12910850784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8641 (or 8630 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 12910850784 in words is "twelve billion, nine hundred ten million, eight hundred fifty thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 421 468 624 842 936 1248 1263 1684 1872 2526 3368 3744 3789 5052 5473 6736 7578 8191 10104 10946 13472 15156 16382 16419 20208 21892 24573 30312 32764 32838 40416 43784 49146 49257 60624 65528 65676 73719 87568 98292 98514 106483 121248 131056 131352 147438 175136 196584 197028 212966 262112 262704 294876 319449 393168 394056 425932 525408 589752 638898 786336 788112 851864 958347 1179504 1277796 1576224 1703728 1916694 2359008 2555592 3407456 3448411 3833388 5111184 6896822 7666776 10222368 10345233 13793644 15333552 20690466 27587288 30667104 31035699 41380932 44829343 55174576 62071398 82761864 89658686 110349152 124142796 134488029 165523728 179317372 248285592 268976058 331047456 358634744 403464087 496571184 537952116 717269488 806928174 993142368 1075904232 1434538976 1613856348 2151808464 3227712696 4303616928 6455425392 12910850784