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55462397760 = 2635571159157
BaseRepresentation
bin110011101001110100…
…010000011101000000
312022011021021201200000
4303221310100131000
51402041333212020
641251251400000
74002260413440
oct635164203500
9168137251600
1055462397760
1121581094370
12a8ba2b3000
1352cb649353
142981d9a120
1516991d8090
hexce9d10740

55462397760 has 1344 divisors, whose sum is σ = 252427069440. Its totient is φ = 11257159680.

The previous prime is 55462397759. The next prime is 55462397789. The reversal of 55462397760 is 6779326455.

55462397760 is a `hidden beast` number, since 5 + 5 + 4 + 623 + 9 + 7 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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 = 55462397697 and 55462397706.

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, 353263602 + ... + 353263758.

It is an arithmetic number, because the mean of its divisors is an integer number (187817760).

Almost surely, 255462397760 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 55462397760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126213534720).

55462397760 is an abundant number, since it is smaller than the sum of its proper divisors (196964671680).

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

55462397760 is a wasteful number, since it uses less digits than its factorization.

55462397760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 54.

The spelling of 55462397760 in words is "fifty-five billion, four hundred sixty-two million, three hundred ninety-seven thousand, seven hundred sixty".