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73121143104 = 26321721961379
BaseRepresentation
bin100010000011001011…
…1000001100101000000
320222201221022221022100
41010012113001211000
52144223003034404
653331423510400
75166003314142
oct1040627014500
9228657287270
1073121143104
1129012a85089
1212208158400
136b83c661a9
143779354c92
151d7e633d39
hex11065c1940

73121143104 has 504 divisors, whose sum is σ = 238831018400. Its totient is φ = 21319925760.

The previous prime is 73121143099. The next prime is 73121143111. The reversal of 73121143104 is 40134112137.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 192931587 + ... + 192931965.

Almost surely, 273121143104 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 73121143104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119415509200).

73121143104 is an abundant number, since it is smaller than the sum of its proper divisors (165709875296).

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

73121143104 is a wasteful number, since it uses less digits than its factorization.

73121143104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

It can be divided in two parts, 73121 and 143104, that added together give a square (216225 = 4652).

The spelling of 73121143104 in words is "seventy-three billion, one hundred twenty-one million, one hundred forty-three thousand, one hundred four".