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73073041920 = 293455361109
BaseRepresentation
bin100010000001101111…
…1100010001000000000
320222121120211010220000
41010003133202020000
52144123144320140
653322544520000
75164550415354
oct1040337421000
9228546733800
1073073041920
1128a98910a3a
12121b4020000
136b76cc4158
143772bd3464
151d7a2d1a30
hex11037e2200

73073041920 has 800 divisors, whose sum is σ = 273520819440. Its totient is φ = 18632540160.

The previous prime is 73073041903. The next prime is 73073041933. The reversal of 73073041920 is 2914037037.

It can be written as a sum of positive squares in 8 ways, for example, as 25227604224 + 47845437696 = 158832^2 + 218736^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 670394826 + ... + 670394934.

Almost surely, 273073041920 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 73073041920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136760409720).

73073041920 is an abundant number, since it is smaller than the sum of its proper divisors (200447777520).

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

73073041920 is a wasteful number, since it uses less digits than its factorization.

73073041920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

Adding to 73073041920 its reverse (2914037037), we get a palindrome (75987078957).

The spelling of 73073041920 in words is "seventy-three billion, seventy-three million, forty-one thousand, nine hundred twenty".