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109979465472 = 283315911381
BaseRepresentation
bin110011001101101001…
…0010111011100000000
3101111212122202201022000
41212123102113130000
53300214220343342
6122305053344000
710642252014012
oct1463322273400
9344778681260
10109979465472
11427075a5228
1219393a98000
13a4a918a3b6
14547459a1b2
152cda3dd44c
hex199b497700

109979465472 has 72 divisors (see below), whose sum is σ = 325228648080. Its totient is φ = 36659819520.

The previous prime is 109979465437. The next prime is 109979465501. The reversal of 109979465472 is 274564979901.

109979465472 is a `hidden beast` number, since 1 + 0 + 99 + 79 + 4 + 6 + 5 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7948779 + ... + 7962602.

Almost surely, 2109979465472 is an apocalyptic number.

109979465472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

109979465472 is an abundant number, since it is smaller than the sum of its proper divisors (215249182608).

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

109979465472 is an equidigital number, since it uses as much as digits as its factorization.

109979465472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15911406 (or 15911386 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 63.

The spelling of 109979465472 in words is "one hundred nine billion, nine hundred seventy-nine million, four hundred sixty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 2304 3456 6912 15911381 31822762 47734143 63645524 95468286 127291048 143202429 190936572 254582096 286404858 381873144 429607287 509164192 572809716 763746288 859214574 1018328384 1145619432 1527492576 1718429148 2036656768 2291238864 3054985152 3436858296 4073313536 4582477728 6109970304 6873716592 9164955456 12219940608 13747433184 18329910912 27494866368 36659821824 54989732736 109979465472