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2055472837632 = 21034193735251
BaseRepresentation
bin11101111010010011101…
…110100111010000000000
321021111112102202222110000
4131322103232213100000
5232134102021301012
64212134324240000
7301334350562454
oct35722356472000
97244472688400
102055472837632
117227a2915845
12292445840000
1311baa40c7556
14716b1da6664
1538703078ddc
hex1de93ba7400

2055472837632 has 440 divisors, whose sum is σ = 6635911214240. Its totient is φ = 631535616000.

The previous prime is 2055472837591. The next prime is 2055472837633. The reversal of 2055472837632 is 2367382745502.

2055472837632 is a `hidden beast` number, since 2 + 0 + 5 + 547 + 2 + 8 + 37 + 63 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2055472837633) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 58292007 + ... + 58327257.

It is an arithmetic number, because the mean of its divisors is an integer number (15081616396).

Almost surely, 22055472837632 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 2055472837632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3317955607120).

2055472837632 is an abundant number, since it is smaller than the sum of its proper divisors (4580438376608).

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

2055472837632 is a wasteful number, since it uses less digits than its factorization.

2055472837632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35339 (or 35312 counting only the distinct ones).

The product of its (nonzero) digits is 16934400, while the sum is 54.

The spelling of 2055472837632 in words is "two trillion, fifty-five billion, four hundred seventy-two million, eight hundred thirty-seven thousand, six hundred thirty-two".