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73078226340 = 22357312331547
BaseRepresentation
bin100010000001111001…
…1010011110110100100
320222121221120112120120
41010003303103312210
52144131011220330
653323252001540
75164642450320
oct1040363236644
9228557515516
1073078226340
1128aa0832089
12121b59002b0
136b780bab62
143773782980
151d7a9a7c10
hex1103cd3da4

73078226340 has 288 divisors, whose sum is σ = 242810330112. Its totient is φ = 16086470400.

The previous prime is 73078226339. The next prime is 73078226357. The reversal of 73078226340 is 4362287037.

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 = 73078226292 and 73078226301.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 133597947 + ... + 133598493.

It is an arithmetic number, because the mean of its divisors is an integer number (843091424).

Almost surely, 273078226340 is an apocalyptic number.

73078226340 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 73078226340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121405165056).

73078226340 is an abundant number, since it is smaller than the sum of its proper divisors (169732103772).

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

73078226340 is a wasteful number, since it uses less digits than its factorization.

73078226340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 959 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 42.

The spelling of 73078226340 in words is "seventy-three billion, seventy-eight million, two hundred twenty-six thousand, three hundred forty".