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133023135384 = 23334314322043
BaseRepresentation
bin111101111100011001…
…0111111011010011000
3110201100121111102202000
41323320302333122120
54134412410313014
6141035431241000
712416302665066
oct1737062773230
9421317442660
10133023135384
1151462101527
1221945219160
13c70c2c9639
14661cbb5036
1536d8477509
hex1ef8cbf698

133023135384 has 64 divisors (see below), whose sum is σ = 378101961600. Its totient is φ = 43309855008.

The previous prime is 133023135383. The next prime is 133023135439. The reversal of 133023135384 is 483531320331.

133023135384 is a `hidden beast` number, since 1 + 3 + 302 + 313 + 5 + 38 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133023135383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7151734 + ... + 7170309.

It is an arithmetic number, because the mean of its divisors is an integer number (5907843150).

Almost surely, 2133023135384 is an apocalyptic number.

It is an amenable number.

133023135384 is an abundant number, since it is smaller than the sum of its proper divisors (245078826216).

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

133023135384 is a wasteful number, since it uses less digits than its factorization.

133023135384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14322101 (or 14322091 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 133023135384 in words is "one hundred thirty-three billion, twenty-three million, one hundred thirty-five thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 43 54 72 86 108 129 172 216 258 344 387 516 774 1032 1161 1548 2322 3096 4644 9288 14322043 28644086 42966129 57288172 85932258 114576344 128898387 171864516 257796774 343729032 386695161 515593548 615847849 773390322 1031187096 1231695698 1546780644 1847543547 2463391396 3093561288 3695087094 4926782792 5542630641 7390174188 11085261282 14780348376 16627891923 22170522564 33255783846 44341045128 66511567692 133023135384