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73209794112 = 2633713259607
BaseRepresentation
bin100010000101110100…
…1001100111001000000
320222222010010212122000
41010023221030321000
52144413201402422
653344311544000
75201130660660
oct1041351147100
9228863125560
1073209794112
1129059024984
121223198b000
136b99435100
1437870301a0
151d872e5cac
hex110ba4ce40

73209794112 has 672 divisors, whose sum is σ = 271306137600. Its totient is φ = 18949552128.

The previous prime is 73209794089. The next prime is 73209794117. The reversal of 73209794112 is 21149790237.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73209794117) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 120608913 + ... + 120609519.

Almost surely, 273209794112 is an apocalyptic number.

73209794112 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73209794112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135653068800).

73209794112 is an abundant number, since it is smaller than the sum of its proper divisors (198096343488).

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

73209794112 is a wasteful number, since it uses less digits than its factorization.

73209794112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 73209794112 in words is "seventy-three billion, two hundred nine million, seven hundred ninety-four thousand, one hundred twelve".