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73135000268 = 221115491073053
BaseRepresentation
bin100010000011100101…
…1111000101011001100
320222202220101221202122
41010013023320223030
52144240030002033
653333040512112
75166232150061
oct1040713705314
9228686357678
1073135000268
112901a88a190
121221091b638
136b86aa85b5
14377b120c68
151d8096ea98
hex11072f8acc

73135000268 has 24 divisors (see below), whose sum is σ = 139711630800. Its totient is φ = 33221689920.

The previous prime is 73135000249. The next prime is 73135000313. The reversal of 73135000268 is 86200053137.

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 7 ways as a sum of consecutive naturals, for example, 468371 + ... + 604682.

It is an arithmetic number, because the mean of its divisors is an integer number (5821317950).

Almost surely, 273135000268 is an apocalyptic number.

73135000268 is the 144554-th centered heptagonal number.

It is an amenable number.

73135000268 is a deficient number, since it is larger than the sum of its proper divisors (66576630532).

73135000268 is a wasteful number, since it uses less digits than its factorization.

73135000268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074617 (or 1074615 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The spelling of 73135000268 in words is "seventy-three billion, one hundred thirty-five million, two hundred sixty-eight", and thus it is an aban number.

Divisors: 1 2 4 11 22 44 1549 3098 6196 17039 34078 68156 1073053 2146106 4292212 11803583 23607166 47214332 1662159097 3324318194 6648636388 18283750067 36567500134 73135000268