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2025164656 = 24298595081
BaseRepresentation
bin111100010110101…
…1000111101110000
312020010201000122101
41320231120331300
513121420232111
6532542150144
7101120421064
oct17055307560
95203630571
102025164656
1194a1751a9
12486282354
132637484a8
14152d69aa4
15bcbd3bc1
hex78b58f70

2025164656 has 40 divisors (see below), whose sum is σ = 4064583600. Its totient is φ = 976335360.

The previous prime is 2025164653. The next prime is 2025164677. The reversal of 2025164656 is 6564615202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2025164653) 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 7 ways as a sum of consecutive naturals, for example, 396036 + ... + 401116.

It is an arithmetic number, because the mean of its divisors is an integer number (101614590).

Almost surely, 22025164656 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 2025164656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2032291800).

2025164656 is an abundant number, since it is smaller than the sum of its proper divisors (2039418944).

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

2025164656 is a wasteful number, since it uses less digits than its factorization.

2025164656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5977 (or 5971 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

The square root of 2025164656 is about 45001.8294739225. The cubic root of 2025164656 is about 1265.1832874551.

Adding to 2025164656 its reverse (6564615202), we get a palindrome (8589779858).

The spelling of 2025164656 in words is "two billion, twenty-five million, one hundred sixty-four thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 29 58 116 232 464 859 1718 3436 5081 6872 10162 13744 20324 24911 40648 49822 81296 99644 147349 199288 294698 398576 589396 1178792 2357584 4364579 8729158 17458316 34916632 69833264 126572791 253145582 506291164 1012582328 2025164656