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53655621120 = 293254749549
BaseRepresentation
bin110001111110000111…
…111100111000000000
312010111100111222001200
4301332013330320000
51334341314333440
640352110101200
73606431153163
oct617607747000
9163440458050
1053655621120
1120834221332
12a4951aa800
1350a122594a
14285003bada
1515e0791c30
hexc7e1fce00

53655621120 has 240 divisors, whose sum is σ = 189782049600. Its totient is φ = 14003453952.

The previous prime is 53655621109. The next prime is 53655621133. The reversal of 53655621120 is 2112655635.

53655621120 is a `hidden beast` number, since 5 + 3 + 6 + 5 + 5 + 621 + 1 + 20 = 666.

53655621120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1058106 + ... + 1107654.

It is an arithmetic number, because the mean of its divisors is an integer number (790758540).

Almost surely, 253655621120 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 53655621120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94891024800).

53655621120 is an abundant number, since it is smaller than the sum of its proper divisors (136126428480).

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

53655621120 is a wasteful number, since it uses less digits than its factorization.

53655621120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49625 (or 49606 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 53655621120 in words is "fifty-three billion, six hundred fifty-five million, six hundred twenty-one thousand, one hundred twenty".