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136058680032 = 25311235601889
BaseRepresentation
bin111111010110110111…
…0101011001011100000
3111000012011102002011120
41332231232223023200
54212122010230112
6142300545412240
712554442461352
oct1765556531340
9430164362146
10136058680032
115277a63a110
122245193a080
13caa41777c2
146829dd10d2
153814bdce8c
hex1fadbab2e0

136058680032 has 96 divisors (see below), whose sum is σ = 406562768640. Its totient is φ = 39437291520.

The previous prime is 136058679997. The next prime is 136058680061. The reversal of 136058680032 is 230086850631.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2776657 + ... + 2825232.

It is an arithmetic number, because the mean of its divisors is an integer number (4235028840).

Almost surely, 2136058680032 is an apocalyptic number.

136058680032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

136058680032 is an abundant number, since it is smaller than the sum of its proper divisors (270504088608).

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

136058680032 is a wasteful number, since it uses less digits than its factorization.

136058680032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5601936 (or 5601928 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 136058680032 in words is "one hundred thirty-six billion, fifty-eight million, six hundred eighty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 32 33 44 46 48 66 69 88 92 96 132 138 176 184 253 264 276 352 368 506 528 552 736 759 1012 1056 1104 1518 2024 2208 3036 4048 6072 8096 12144 24288 5601889 11203778 16805667 22407556 33611334 44815112 61620779 67222668 89630224 123241558 128843447 134445336 179260448 184862337 246483116 257686894 268890672 369724674 386530341 492966232 515373788 537781344 739449348 773060682 985932464 1030747576 1417277917 1478898696 1546121364 1971864928 2061495152 2834555834 2957797392 3092242728 4122990304 4251833751 5669111668 5915594784 6184485456 8503667502 11338223336 12368970912 17007335004 22676446672 34014670008 45352893344 68029340016 136058680032