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73223913840 = 24357115374761
BaseRepresentation
bin100010000110001111…
…1000100000101110000
321000000002201020020220
41010030133010011300
52144430310220330
653345534333040
75201361666240
oct1041437040560
9230002636226
1073223913840
1129065a99280
121223665a180
136b9c339b8c
143788c67b20
151d88684710
hex110c7c4170

73223913840 has 320 divisors, whose sum is σ = 288349258752. Its totient is φ = 14928076800.

The previous prime is 73223913839. The next prime is 73223913859. The reversal of 73223913840 is 4831932237.

It is a super-3 number, since 3×732239138403 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 73223913792 and 73223913801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 942060 + ... + 1016820.

Almost surely, 273223913840 is an apocalyptic number.

73223913840 is a gapful number since it is divisible by the number (70) 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 73223913840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144174629376).

73223913840 is an abundant number, since it is smaller than the sum of its proper divisors (215125344912).

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

73223913840 is a wasteful number, since it uses less digits than its factorization.

73223913840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74848 (or 74842 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The spelling of 73223913840 in words is "seventy-three billion, two hundred twenty-three million, nine hundred thirteen thousand, eight hundred forty".