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73386810000 = 24345472432
BaseRepresentation
bin100010001011000110…
…0011101101010010000
321000102110020012210000
41010112030131222100
52200244010410000
653414034010000
75205410410200
oct1042614355220
9230373205700
1073386810000
1129139a395a9
1212281116900
136bc700293a
1437a274c400
151d97b10000
hex111631da90

73386810000 has 1125 divisors, whose sum is σ = 316099324431. Its totient is φ = 16384032000.

The previous prime is 73386809963. The next prime is 73386810001. The reversal of 73386810000 is 1868337.

The square root of 73386810000 is 270900.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 5753525904 + 67633284096 = 75852^2 + 260064^2 .

It is a tau number, because it is divible by the number of its divisors (1125).

It is a super-2 number, since 2×733868100002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (73386810001) by changing a digit.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 1706669979 + ... + 1706670021.

Almost surely, 273386810000 is an apocalyptic number.

73386810000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

73386810000 is the 270900-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73386810000

73386810000 is an abundant number, since it is smaller than the sum of its proper divisors (242712514431).

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

73386810000 is an equidigital number, since it uses as much as digits as its factorization.

73386810000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

Multiplying 73386810000 by its sum of digits (36), we get a square (2641925160000 = 16254002).

73386810000 divided by its sum of digits (36) gives a square (2038522500 = 451502).

The spelling of 73386810000 in words is "seventy-three billion, three hundred eighty-six million, eight hundred ten thousand".