Search a number
-
+
73103595996000 = 25353192315310271
BaseRepresentation
bin10000100111110011000001…
…110111110000001101100000
3100120211122011022000220122110
4100213303001313300031200
534040212131033333000
6415251154532435320
721253363154233023
oct2047630167601540
9316748138026573
1073103595996000
1121325074150a19
128247b72478b40
1331a3841053b0b
14140a3392091ba
1586b8d3ee4850
hex427cc1df0360

73103595996000 has 1152 divisors, whose sum is σ = 265857467645952. Its totient is φ = 17533601280000.

The previous prime is 73103595995993. The next prime is 73103595996023. The reversal of 73103595996000 is 69959530137.

It is a happy number.

73103595996000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7117470865 + ... + 7117481135.

It is an arithmetic number, because the mean of its divisors is an integer number (230779051776).

Almost surely, 273103595996000 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 73103595996000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132928733822976).

73103595996000 is an abundant number, since it is smaller than the sum of its proper divisors (192753871649952).

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

73103595996000 is a wasteful number, since it uses less digits than its factorization.

73103595996000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10421 (or 10384 counting only the distinct ones).

The product of its (nonzero) digits is 6889050, while the sum is 57.

The spelling of 73103595996000 in words is "seventy-three trillion, one hundred three billion, five hundred ninety-five million, nine hundred ninety-six thousand".