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2606060605680 = 2432572473315607
BaseRepresentation
bin100101111011000101010…
…100010001000011110000
3100020010200211210120111100
4211323011110101003300
5320144203003340210
65313112511044400
7356165416440300
oct45730524210360
910203624716440
102606060605680
119152512aa104
123610a4510700
1315b99a9ba18c
14901c39db600
1547bc9e555c0
hex25ec55110f0

2606060605680 has 360 divisors, whose sum is σ = 10183724976672. Its totient is φ = 595506981888.

The previous prime is 2606060605669. The next prime is 2606060605721. The reversal of 2606060605680 is 865060606062.

2606060605680 is a `hidden beast` number, since 26 + 0 + 6 + 0 + 6 + 0 + 60 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 166972437 + ... + 166988043.

Almost surely, 22606060605680 is an apocalyptic number.

2606060605680 is a gapful number since it is divisible by the number (20) 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 2606060605680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5091862488336).

2606060605680 is an abundant number, since it is smaller than the sum of its proper divisors (7577664370992).

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

2606060605680 is a wasteful number, since it uses less digits than its factorization.

2606060605680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20373 (or 20357 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 2606060605680 in words is "two trillion, six hundred six billion, sixty million, six hundred five thousand, six hundred eighty".