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75642003906 = 2372816409253
BaseRepresentation
bin100011001110010011…
…1010110000111000010
321020020121202221020020
41012130213112013002
52214403323111111
654425514354310
75315323265430
oct1063447260702
9236217687206
1075642003906
112a096a37117
12127b042b996
1371962ba7c1
143938075d50
151e7aad0906
hex119c9d61c2

75642003906 has 32 divisors (see below), whose sum is σ = 173511324288. Its totient is φ = 21535086720.

The previous prime is 75642003901. The next prime is 75642003929. The reversal of 75642003906 is 60930024657.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (75642003901) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3192825 + ... + 3216428.

It is an arithmetic number, because the mean of its divisors is an integer number (5422228884).

Almost surely, 275642003906 is an apocalyptic number.

75642003906 is an abundant number, since it is smaller than the sum of its proper divisors (97869320382).

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

75642003906 is a wasteful number, since it uses less digits than its factorization.

75642003906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6409546.

The product of its (nonzero) digits is 272160, while the sum is 42.

The spelling of 75642003906 in words is "seventy-five billion, six hundred forty-two million, three thousand, nine hundred six".

Divisors: 1 2 3 6 7 14 21 42 281 562 843 1686 1967 3934 5901 11802 6409253 12818506 19227759 38455518 44864771 89729542 134594313 269188626 1801000093 3602000186 5403000279 10806000558 12607000651 25214001302 37821001953 75642003906