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75412848996 = 223237212372
BaseRepresentation
bin100011000111011110…
…1001100000101100100
321012122122120122210100
41012032331030011210
52213421142131441
654351051024100
75306541432342
oct1061675140544
9235578518710
1075412848996
1129a896506a1
121274773b030
13715a996094
143915864992
151e65917cb6
hex118ef4c164

75412848996 has 81 divisors (see below), whose sum is σ = 196076758059. Its totient is φ = 24438449088.

The previous prime is 75412848989. The next prime is 75412849003. The reversal of 75412848996 is 69984821457.

The square root of 75412848996 is 274614.

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

75412848996 is a `hidden beast` number, since 7 + 5 + 41 + 28 + 489 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (75412848989) and next prime (75412849003).

It can be written as a sum of positive squares in 4 ways, for example, as 33009802596 + 42403046400 = 181686^2 + 205920^2 .

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 60963690 + ... + 60964926.

Almost surely, 275412848996 is an apocalyptic number.

75412848996 is the 274614-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75412848996

75412848996 is an abundant number, since it is smaller than the sum of its proper divisors (120663909063).

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

75412848996 is a wasteful number, since it uses less digits than its factorization.

75412848996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2558 (or 1279 counting only the distinct ones).

The product of its digits is 34836480, while the sum is 63.

The spelling of 75412848996 in words is "seventy-five billion, four hundred twelve million, eight hundred forty-eight thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1237 1332 1369 2474 2738 3711 4107 4948 5476 7422 8214 11133 12321 14844 16428 22266 24642 44532 45769 49284 91538 137307 183076 274614 411921 549228 823842 1530169 1647684 1693453 3060338 3386906 4590507 5080359 6120676 6773812 9181014 10160718 13771521 15241077 18362028 20321436 27543042 30482154 55086084 56616253 60964308 113232506 169848759 226465012 339697518 509546277 679395036 1019092554 2038185108 2094801361 4189602722 6284404083 8379205444 12568808166 18853212249 25137616332 37706424498 75412848996