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73139381280 = 253257193197127
BaseRepresentation
bin100010000011101110…
…0100110010000100000
320222210012122112101100
41010013130212100200
52144242140200110
653333314434400
75166314324520
oct1040734462040
9228705575340
1073139381280
1129022301759
1212212292a00
136b87980704
14377b941680
151d81037bc0
hex1107726420

73139381280 has 1152 divisors, whose sum is σ = 315603025920. Its totient is φ = 15049359360.

The previous prime is 73139381269. The next prime is 73139381297. The reversal of 73139381280 is 8218393137.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 575900577 + ... + 575900703.

It is an arithmetic number, because the mean of its divisors is an integer number (273960960).

Almost surely, 273139381280 is an apocalyptic number.

73139381280 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 73139381280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157801512960).

73139381280 is an abundant number, since it is smaller than the sum of its proper divisors (242463644640).

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

73139381280 is a wasteful number, since it uses less digits than its factorization.

73139381280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 73139381280 in words is "seventy-three billion, one hundred thirty-nine million, three hundred eighty-one thousand, two hundred eighty".