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134694872064 = 2103238232
BaseRepresentation
bin111110101110001110…
…0001010010000000000
3110212200010011110100100
41331130130022100000
54201323341401224
6141513350322400
712505602344004
oct1753434122000
9425603143310
10134694872064
115213a81aa95
1222131059400
13c91775b53c
14673ac20704
1537850e6ac9
hex1f5c70a400

134694872064 has 99 divisors (see below), whose sum is σ = 389030280483. Its totient is φ = 44886546432.

The previous prime is 134694872051. The next prime is 134694872071. The reversal of 134694872064 is 460278496431.

The square root of 134694872064 is 367008.

It is a perfect power (a square), and thus also a powerful number.

134694872064 is a `hidden beast` number, since 1 + 346 + 94 + 8 + 7 + 206 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 134694872064.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 35230857 + ... + 35234679.

Almost surely, 2134694872064 is an apocalyptic number.

134694872064 is the 367008-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134694872064

134694872064 is an abundant number, since it is smaller than the sum of its proper divisors (254335408419).

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

134694872064 is an frugal number, since it uses more digits than its factorization.

134694872064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7672 (or 3828 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 134694872064 in words is "one hundred thirty-four billion, six hundred ninety-four million, eight hundred seventy-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2304 3072 3823 4608 7646 9216 11469 15292 22938 30584 34407 45876 61168 68814 91752 122336 137628 183504 244672 275256 367008 489344 550512 734016 978688 1101024 1468032 1957376 2202048 2936064 3914752 4404096 5872128 8808192 11744256 14615329 17616384 29230658 35232768 43845987 58461316 87691974 116922632 131537961 175383948 233845264 263075922 350767896 467690528 526151844 701535792 935381056 1052303688 1403071584 1870762112 2104607376 2806143168 3741524224 4209214752 5612286336 7483048448 8418429504 11224572672 14966096896 16836859008 22449145344 33673718016 44898290688 67347436032 134694872064