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150525609696 = 25327116787771
BaseRepresentation
bin1000110000110000000…
…1101000011011100000
3112101112101111020211100
42030030001220123200
54431234024002241
6153052302114400
713606110400020
oct2141401503340
9471471436740
10150525609696
1158923867530
122520a87ba00
131126b430107
1473dd4d1a80
153daed059b6
hex230c0686e0

150525609696 has 144 divisors (see below), whose sum is σ = 533681785728. Its totient is φ = 39097555200.

The previous prime is 150525609691. The next prime is 150525609713. The reversal of 150525609696 is 696906525051.

150525609696 is a `hidden beast` number, since 1 + 5 + 0 + 5 + 25 + 609 + 6 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150525609691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3371710 + ... + 3416061.

It is an arithmetic number, because the mean of its divisors is an integer number (3706123512).

Almost surely, 2150525609696 is an apocalyptic number.

150525609696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

150525609696 is an abundant number, since it is smaller than the sum of its proper divisors (383156176032).

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

150525609696 is a wasteful number, since it uses less digits than its factorization.

150525609696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6787805 (or 6787794 counting only the distinct ones).

The product of its (nonzero) digits is 4374000, while the sum is 54.

The spelling of 150525609696 in words is "one hundred fifty billion, five hundred twenty-five million, six hundred nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 32 33 36 42 44 48 56 63 66 72 77 84 88 96 99 112 126 132 144 154 168 176 198 224 231 252 264 288 308 336 352 396 462 504 528 616 672 693 792 924 1008 1056 1232 1386 1584 1848 2016 2464 2772 3168 3696 5544 7392 11088 22176 6787771 13575542 20363313 27151084 40726626 47514397 54302168 61089939 74665481 81453252 95028794 108604336 122179878 142543191 149330962 162906504 190057588 217208672 223996443 244359756 285086382 298661924 325813008 380115176 427629573 447992886 488719512 522658367 570172764 597323848 651626016 671989329 760230352 855259146 895985772 977439024 1045316734 1140345528 1194647696 1343978658 1520460704 1567975101 1710518292 1791971544 1954878048 2090633468 2280691056 2389295392 2687957316 3135950202 3421036584 3583943088 4181266936 4561382112 4703925303 5375914632 6271900404 6842073168 7167886176 8362533872 9407850606 10751829264 12543800808 13684146336 16725067744 18815701212 21503658528 25087601616 37631402424 50175203232 75262804848 150525609696