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5380912373760 = 21335572111759
BaseRepresentation
bin100111001001101011101…
…0111101110000000000000
3201001102002000221121200000
41032103113113232000000
51201130102031430020
615235542414400000
71063521011342100
oct116232727560000
921042060847600
105380912373760
111795039833840
1272aa34800000
133005580644c1
1414861a8c1200
1594e83522090
hex4e4d75ee000

5380912373760 has 4032 divisors, whose sum is σ = 26431750275840. Its totient is φ = 1034504110080.

The previous prime is 5380912373741. The next prime is 5380912373761. The reversal of 5380912373760 is 673732190835.

5380912373760 is a `hidden beast` number, since 5 + 38 + 0 + 9 + 1 + 237 + 376 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

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 = 5380912373697 and 5380912373706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5380912373761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 91201904611 + ... + 91201904669.

It is an arithmetic number, because the mean of its divisors is an integer number (6555493620).

Almost surely, 25380912373760 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 5380912373760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13215875137920).

5380912373760 is an abundant number, since it is smaller than the sum of its proper divisors (21050837902080).

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

5380912373760 is a wasteful number, since it uses less digits than its factorization.

5380912373760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 5380912373760 in words is "five trillion, three hundred eighty billion, nine hundred twelve million, three hundred seventy-three thousand, seven hundred sixty".