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2530088162784 = 2533713145322147
BaseRepresentation
bin100100110100010101000…
…000011001010111100000
322221212121012020121012000
4210310111000121113200
5312423110032202114
65214150110004000
7350535641354550
oct44642500312740
98855535217160
102530088162784
11896005899316
1234a4214a6600
13154781104b60
148a657b0b160
1545c30351e09
hex24d150195e0

2530088162784 has 384 divisors, whose sum is σ = 9089028910080. Its totient is φ = 666786650112.

The previous prime is 2530088162783. The next prime is 2530088162801. The reversal of 2530088162784 is 4872618800352.

2530088162784 is a `hidden beast` number, since 2 + 5 + 3 + 0 + 0 + 8 + 8 + 1 + 627 + 8 + 4 = 666.

It is a super-2 number, since 2×25300881627842 (a number of 26 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2530088162784.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2530088162783) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 114229599 + ... + 114251745.

It is an arithmetic number, because the mean of its divisors is an integer number (23669346120).

Almost surely, 22530088162784 is an apocalyptic number.

2530088162784 is a gapful number since it is divisible by the number (24) 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 2530088162784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4544514455040).

2530088162784 is an abundant number, since it is smaller than the sum of its proper divisors (6558940747296).

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

2530088162784 is a wasteful number, since it uses less digits than its factorization.

2530088162784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23639 (or 23625 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 2530088162784 in words is "two trillion, five hundred thirty billion, eighty-eight million, one hundred sixty-two thousand, seven hundred eighty-four".