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73206796608 = 26321123121093
BaseRepresentation
bin100010000101101110…
…1110001000101000000
320222221220111120211100
41010023131301011000
52144411414442413
653344123414400
75201063334621
oct1041335610500
9228856446740
1073206796608
1129057367900
1212230984400
136b9892593a
14378688da48
151d86e02a73
hex110b771140

73206796608 has 378 divisors, whose sum is σ = 238542235386. Its totient is φ = 21448627200.

The previous prime is 73206796603. The next prime is 73206796631. The reversal of 73206796608 is 80669760237.

73206796608 is a `hidden beast` number, since 7 + 3 + 20 + 6 + 7 + 9 + 6 + 608 = 666.

It can be written as a sum of positive squares in only one way, i.e., 72938885184 + 267911424 = 270072^2 + 16368^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73206796603) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 66977310 + ... + 66978402.

Almost surely, 273206796608 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 73206796608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119271117693).

73206796608 is an abundant number, since it is smaller than the sum of its proper divisors (165335438778).

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

73206796608 is a wasteful number, since it uses less digits than its factorization.

73206796608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1195 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 73206796608 in words is "seventy-three billion, two hundred six million, seven hundred ninety-six thousand, six hundred eight".