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2525430680640 = 263257177368787
BaseRepresentation
bin100100101111111111011…
…001100000110001000000
322221102120121100222210100
4210233333121200301000
5312334040223240030
65212100012002400
7350312345412450
oct44577731406100
98842517328710
102525430680640
1189403586601a
12349541760400
131541bb20c96a
148a335329d60
1545a5b507360
hex24bff660c40

2525430680640 has 336 divisors, whose sum is σ = 10511310805632. Its totient is φ = 543285854208.

The previous prime is 2525430680627. The next prime is 2525430680677. The reversal of 2525430680640 is 460860345252.

2525430680640 is a `hidden beast` number, since 2 + 5 + 2 + 543 + 0 + 68 + 0 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3341674 + ... + 4027113.

It is an arithmetic number, because the mean of its divisors is an integer number (31283663112).

Almost surely, 22525430680640 is an apocalyptic number.

2525430680640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2525430680640 is an abundant number, since it is smaller than the sum of its proper divisors (7985880124992).

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

2525430680640 is a wasteful number, since it uses less digits than its factorization.

2525430680640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7368834 (or 7368821 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 2525430680640 in words is "two trillion, five hundred twenty-five billion, four hundred thirty million, six hundred eighty thousand, six hundred forty".