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55409786640 = 24345132192663
BaseRepresentation
bin110011100110101011…
…100011111100010000
312022000121021210210000
4303212223203330100
51401434401133030
641242132010000
74001051262315
oct634653437420
9168017253700
1055409786640
112155441a8aa
12a8a4760900
1352c0788600
142978dc2d0c
151694794860
hexce6ae3f10

55409786640 has 600 divisors, whose sum is σ = 219438901440. Its totient is φ = 12916620288.

The previous prime is 55409786623. The next prime is 55409786681. The reversal of 55409786640 is 4668790455.

55409786640 is a `hidden beast` number, since 5 + 540 + 97 + 8 + 6 + 6 + 4 + 0 = 666.

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

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 20805949 + ... + 20808611.

Almost surely, 255409786640 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 55409786640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109719450720).

55409786640 is an abundant number, since it is smaller than the sum of its proper divisors (164029114800).

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

55409786640 is a wasteful number, since it uses less digits than its factorization.

55409786640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2733 (or 2705 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 55409786640 in words is "fifty-five billion, four hundred nine million, seven hundred eighty-six thousand, six hundred forty".