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2580206725404 = 22337112268310513
BaseRepresentation
bin100101100011000000010…
…011100010100100011100
3100010122222001011101011000
4211203000103202210130
5314233230410203104
65253155224430300
7354261633204120
oct45430023424434
910118861141130
102580206725404
11905294481200
1235808a018390
1315940a5b7479
148cc500a1580
15471b5316639
hex258c04e291c

2580206725404 has 288 divisors, whose sum is σ = 8407176081920. Its totient is φ = 669870051840.

The previous prime is 2580206725379. The next prime is 2580206725409. The reversal of 2580206725404 is 4045276020852.

2580206725404 is a `hidden beast` number, since 2 + 5 + 80 + 20 + 6 + 7 + 2 + 540 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2580206725404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2580206725409) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 245424852 + ... + 245435364.

Almost surely, 22580206725404 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 2580206725404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4203588040960).

2580206725404 is an abundant number, since it is smaller than the sum of its proper divisors (5826969356516).

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

2580206725404 is a wasteful number, since it uses less digits than its factorization.

2580206725404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13238 (or 13219 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The spelling of 2580206725404 in words is "two trillion, five hundred eighty billion, two hundred six million, seven hundred twenty-five thousand, four hundred four".