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73684481760 = 25355172337131
BaseRepresentation
bin100010010011111101…
…1111111011011100000
321001012012100111200000
41010213323333123200
52201401211404020
653503350100000
75215653521661
oct1044773773340
9231165314600
1073684481760
1129281a7281a
121234494a600
136c43896a86
1437d00b7368
151db3d0e090
hex1127eff6e0

73684481760 has 1152 divisors, whose sum is σ = 298149755904. Its totient is φ = 17079828480.

The previous prime is 73684481747. The next prime is 73684481807. The reversal of 73684481760 is 6718448637.

73684481760 is a `hidden beast` number, since 73 + 68 + 448 + 1 + 76 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 73684481697 and 73684481706.

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, 562476895 + ... + 562477025.

It is an arithmetic number, because the mean of its divisors is an integer number (258810552).

Almost surely, 273684481760 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 73684481760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149074877952).

73684481760 is an abundant number, since it is smaller than the sum of its proper divisors (224465274144).

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

73684481760 is a wasteful number, since it uses less digits than its factorization.

73684481760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 73684481760 in words is "seventy-three billion, six hundred eighty-four million, four hundred eighty-one thousand, seven hundred sixty".