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2530082927880 = 233252310728310091
BaseRepresentation
bin100100110100010100101…
…100011011010100001000
322221212120211101122020200
4210310110230123110020
5312423102212143010
65214145401452200
7350535546022464
oct44642454332410
98855524348220
102530082927880
11896002943252
1234a41b7a1060
1315477ccc1191
148a6571474a4
1545c2eb6acc0
hex24d14b1b508

2530082927880 has 384 divisors, whose sum is σ = 8691934417920. Its totient is φ = 637000911360.

The previous prime is 2530082927837. The next prime is 2530082927887. The reversal of 2530082927880 is 887292800352.

It is a happy number.

2530082927880 is a `hidden beast` number, since 2 + 530 + 0 + 8 + 2 + 9 + 27 + 8 + 80 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2530082927887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 250721635 + ... + 250731725.

It is an arithmetic number, because the mean of its divisors is an integer number (22635245880).

Almost surely, 22530082927880 is an apocalyptic number.

2530082927880 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 2530082927880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4345967208960).

2530082927880 is an abundant number, since it is smaller than the sum of its proper divisors (6161851490040).

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

2530082927880 is a wasteful number, since it uses less digits than its factorization.

2530082927880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10521 (or 10514 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 2530082927880 in words is "two trillion, five hundred thirty billion, eighty-two million, nine hundred twenty-seven thousand, eight hundred eighty".