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2055533017824 = 2533111331536677
BaseRepresentation
bin11101111010010111010…
…100001011101011100000
321021111200122000110011000
4131322113110023223200
5232134212423032244
64212144314152000
7301336011240066
oct35722724135340
97244618013130
102055533017824
1172282388a040
12292461a22600
1311bab3708530
14716b9d90036
15387084b5169
hex1de9750bae0

2055533017824 has 384 divisors, whose sum is σ = 7270655938560. Its totient is φ = 556425676800.

The previous prime is 2055533017777. The next prime is 2055533017859. The reversal of 2055533017824 is 4287103355502.

2055533017824 is a `hidden beast` number, since 2 + 0 + 5 + 553 + 3 + 0 + 1 + 78 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2055533017824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3561774 + ... + 4098450.

It is an arithmetic number, because the mean of its divisors is an integer number (18933999840).

Almost surely, 22055533017824 is an apocalyptic number.

2055533017824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2055533017824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3635327969280).

2055533017824 is an abundant number, since it is smaller than the sum of its proper divisors (5215122920736).

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

2055533017824 is a wasteful number, since it uses less digits than its factorization.

2055533017824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536751 (or 536737 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 2055533017824 in words is "two trillion, fifty-five billion, five hundred thirty-three million, seventeen thousand, eight hundred twenty-four".