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73642096608 = 253839242231
BaseRepresentation
bin100010010010101101…
…0010011011111100000
321001002020121010011120
41010211122103133200
52201304334042413
653455233412240
75214630331053
oct1044532233740
9231066533146
1073642096608
1129260053173
121233270a080
136c37b766c2
1437c8602a9a
151db023a723
hex11256937e0

73642096608 has 48 divisors (see below), whose sum is σ = 195639566976. Its totient is φ = 24251611520.

The previous prime is 73642096597. The next prime is 73642096609. The reversal of 73642096608 is 80669024637.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73642096609) 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 7 ways as a sum of consecutive naturals, for example, 4613148 + ... + 4629083.

It is an arithmetic number, because the mean of its divisors is an integer number (4075824312).

Almost surely, 273642096608 is an apocalyptic number.

It is an amenable number.

73642096608 is an abundant number, since it is smaller than the sum of its proper divisors (121997470368).

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

73642096608 is a wasteful number, since it uses less digits than its factorization.

73642096608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9242327 (or 9242319 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 51.

The spelling of 73642096608 in words is "seventy-three billion, six hundred forty-two million, ninety-six thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 83 96 166 249 332 498 664 996 1328 1992 2656 3984 7968 9242231 18484462 27726693 36968924 55453386 73937848 110906772 147875696 221813544 295751392 443627088 767105173 887254176 1534210346 2301315519 3068420692 4602631038 6136841384 9205262076 12273682768 18410524152 24547365536 36821048304 73642096608