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75365023552 = 26713311014133
BaseRepresentation
bin100011000110000011…
…0101111111101000000
321012112022120212121121
41012030012233331000
52213321421223202
654342222002024
75305421062510
oct1061406577500
9235468525547
1075365023552
1129a64655735
1212733716314
137150abc6c0
14390d375840
151e6161c537
hex118c1aff40

75365023552 has 224 divisors, whose sum is σ = 191929780224. Its totient is φ = 28560384000.

The previous prime is 75365023549. The next prime is 75365023561. The reversal of 75365023552 is 25532056357.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 75365023499 and 75365023508.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 18232878 + ... + 18237010.

It is an arithmetic number, because the mean of its divisors is an integer number (856829376).

Almost surely, 275365023552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75365023552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95964890112).

75365023552 is an abundant number, since it is smaller than the sum of its proper divisors (116564756672).

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

75365023552 is a wasteful number, since it uses less digits than its factorization.

75365023552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4297 (or 4287 counting only the distinct ones).

The product of its (nonzero) digits is 945000, while the sum is 43.

The spelling of 75365023552 in words is "seventy-five billion, three hundred sixty-five million, twenty-three thousand, five hundred fifty-two".