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73141318848 = 2631329303413
BaseRepresentation
bin100010000011110001…
…1111111010011000000
320222210100021222020010
41010013203333103000
52144243134200343
653333424144520
75166336644433
oct1040743772300
9228710258203
1073141318848
1129023405454
1212212a68140
136b881ab5c0
14377bcc781a
151d812bbd33
hex11078ff4c0

73141318848 has 56 divisors (see below), whose sum is σ = 208405880368. Its totient is φ = 22505020416.

The previous prime is 73141318781. The next prime is 73141318849. The reversal of 73141318848 is 84881314137.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 73141318797 and 73141318806.

It is not an unprimeable number, because it can be changed into a prime (73141318849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14649211 + ... + 14654202.

It is an arithmetic number, because the mean of its divisors is an integer number (3721533578).

Almost surely, 273141318848 is an apocalyptic number.

73141318848 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

73141318848 is an abundant number, since it is smaller than the sum of its proper divisors (135264561520).

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

73141318848 is a wasteful number, since it uses less digits than its factorization.

73141318848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29303441 (or 29303431 counting only the distinct ones).

The product of its digits is 516096, while the sum is 48.

The spelling of 73141318848 in words is "seventy-three billion, one hundred forty-one million, three hundred eighteen thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1248 2496 29303413 58606826 87910239 117213652 175820478 234427304 351640956 380944369 468854608 703281912 761888738 937709216 1142833107 1406563824 1523777476 1875418432 2285666214 2813127648 3047554952 4571332428 5626255296 6095109904 9142664856 12190219808 18285329712 24380439616 36570659424 73141318848