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2575084512 = 25371113127211
BaseRepresentation
bin1001100101111100…
…1010101111100000
320122110110211212110
42121133022233200
520233210201022
61103304555320
7120545600010
oct23137125740
96573424773
102575084512
111101628120
125ba482b40
1332065b360
141a5dd7c40
1510110d00c
hex997cabe0

2575084512 has 384 divisors, whose sum is σ = 9190637568. Its totient is φ = 609638400.

The previous prime is 2575084507. The next prime is 2575084579. The reversal of 2575084512 is 2154805752.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 12204087 + ... + 12204297.

It is an arithmetic number, because the mean of its divisors is an integer number (23933952).

Almost surely, 22575084512 is an apocalyptic number.

2575084512 is a gapful number since it is divisible by the number (22) 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 2575084512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4595318784).

2575084512 is an abundant number, since it is smaller than the sum of its proper divisors (6615553056).

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

2575084512 is a wasteful number, since it uses less digits than its factorization.

2575084512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 112000, while the sum is 39.

The square root of 2575084512 is about 50745.2905401083. The cubic root of 2575084512 is about 1370.6623880538.

The spelling of 2575084512 in words is "two billion, five hundred seventy-five million, eighty-four thousand, five hundred twelve".