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75013870960 = 2457133953341
BaseRepresentation
bin100010111011100101…
…1001101010101110000
321011121211211110211001
41011313023031111300
52212112022332320
654243315331344
75263625245150
oct1056713152560
9234554743731
1075013870960
11298a4413586
1212655bb0b54
1370c61219c2
1438b8888760
151e408a720a
hex11772cd570

75013870960 has 40 divisors (see below), whose sum is σ = 199322572896. Its totient is φ = 25719041280.

The previous prime is 75013870951. The next prime is 75013870963. The reversal of 75013870960 is 6907831057.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 75013870960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75013870963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66976111 + ... + 66977230.

Almost surely, 275013870960 is an apocalyptic number.

75013870960 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

75013870960 is an abundant number, since it is smaller than the sum of its proper divisors (124308701936).

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

75013870960 is a wasteful number, since it uses less digits than its factorization.

75013870960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133953361 (or 133953355 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 46.

The spelling of 75013870960 in words is "seventy-five billion, thirteen million, eight hundred seventy thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 133953341 267906682 535813364 669766705 937673387 1071626728 1339533410 1875346774 2143253456 2679066820 3750693548 4688366935 5358133640 7501387096 9376733870 10716267280 15002774192 18753467740 37506935480 75013870960