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134716098122784 = 2532538825740181
BaseRepresentation
bin11110101000011000001001…
…001011001001010000100000
3122122222201210111122202101200
4132220120021023021100200
5120124142032104412114
61154303415432001200
740242626332264653
oct3650301113112040
9578881714582350
10134716098122784
1139a1985a3923a2
1213138a70830200
135a2289aa0ac99
14253a4187d789a
15108941ca35409
hex7a86092c9420

134716098122784 has 72 divisors (see below), whose sum is σ = 390327185289132. Its totient is φ = 44058094978560.

The previous prime is 134716098122783. The next prime is 134716098122843. The reversal of 134716098122784 is 487221890617431.

134716098122784 is a `hidden beast` number, since 1 + 3 + 4 + 7 + 1 + 609 + 8 + 12 + 2 + 7 + 8 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 129323020832784 + 5393077290000 = 11372028^2 + 2322300^2 .

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

It is not an unprimeable number, because it can be changed into a prime (134716098122783) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 4412854827 + ... + 4412885354.

Almost surely, 2134716098122784 is an apocalyptic number.

It is an amenable number.

134716098122784 is an abundant number, since it is smaller than the sum of its proper divisors (255611087166348).

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

134716098122784 is a wasteful number, since it uses less digits than its factorization.

134716098122784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8825740250 (or 8825740239 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The spelling of 134716098122784 in words is "one hundred thirty-four trillion, seven hundred sixteen billion, ninety-eight million, one hundred twenty-two thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 72 96 106 144 159 212 288 318 424 477 636 848 954 1272 1696 1908 2544 3816 5088 7632 15264 8825740181 17651480362 26477220543 35302960724 52954441086 70605921448 79431661629 105908882172 141211842896 158863323258 211817764344 282423685792 317726646516 423635528688 467764229593 635453293032 847271057376 935528459186 1270906586064 1403292688779 1871056918372 2541813172128 2806585377558 3742113836744 4209878066337 5613170755116 7484227673488 8419756132674 11226341510232 14968455346976 16839512265348 22452683020464 33679024530696 44905366040928 67358049061392 134716098122784