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73915342848 = 213321723469
BaseRepresentation
bin100010011010110110…
…0101010000000000000
321001210021202110112200
41010311230222000000
52202334311432343
653542314153200
75224456022244
oct1046554520000
9231707673480
1073915342848
1129390314106
12123aa122800
136c7c667c79
143812a10424
151dc92124d3
hex1135b2a000

73915342848 has 252 divisors, whose sum is σ = 226884398910. Its totient is φ = 23182442496.

The previous prime is 73915342801. The next prime is 73915342859. The reversal of 73915342848 is 84824351937.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 62396043264 + 11519299584 = 249792^2 + 107328^2 .

It is a super-2 number, since 2×739153428482 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 73915342794 and 73915342803.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 21305658 + ... + 21309126.

Almost surely, 273915342848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73915342848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113442199455).

73915342848 is an abundant number, since it is smaller than the sum of its proper divisors (152969056062).

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

73915342848 is a wasteful number, since it uses less digits than its factorization.

73915342848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3535 (or 3491 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 73915342848 in words is "seventy-three billion, nine hundred fifteen million, three hundred forty-two thousand, eight hundred forty-eight".