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2525665536 = 28343492
BaseRepresentation
bin1001011010001010…
…1001100100000000
320112000111002210000
42112202221210000
520133032244121
61054341440000
7116405542242
oct22642514400
96460432700
102525665536
111086743999
125a5a10000
13313347564
1419d612092
15ebaea526
hex968a9900

2525665536 has 135 divisors (see below), whose sum is σ = 7552718481. Its totient is φ = 839476224.

The previous prime is 2525665531. The next prime is 2525665543. The reversal of 2525665536 is 6355665252.

The square root of 2525665536 is 50256.

It is a perfect power (a square), and thus also a powerful number.

2525665536 is a `hidden beast` number, since 2 + 5 + 2 + 56 + 65 + 536 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1853819136 + 671846400 = 43056^2 + 25920^2 .

It is a super-3 number, since 3×25256655363 (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2525665491 and 2525665500.

It is not an unprimeable number, because it can be changed into a prime (2525665531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 7236690 + ... + 7237038.

Almost surely, 22525665536 is an apocalyptic number.

2525665536 is the 50256-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2525665536

2525665536 is an abundant number, since it is smaller than the sum of its proper divisors (5027052945).

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

2525665536 is an frugal number, since it uses more digits than its factorization.

2525665536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 354 counting only the distinct ones).

The product of its digits is 1620000, while the sum is 45.

The cubic root of 2525665536 is about 1361.8374701748.

The spelling of 2525665536 in words is "two billion, five hundred twenty-five million, six hundred sixty-five thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 349 384 432 576 648 698 768 864 1047 1152 1296 1396 1728 2094 2304 2592 2792 3141 3456 4188 5184 5584 6282 6912 8376 9423 10368 11168 12564 16752 18846 20736 22336 25128 28269 33504 37692 44672 50256 56538 67008 75384 89344 100512 113076 121801 134016 150768 201024 226152 243602 268032 301536 365403 402048 452304 487204 603072 730806 804096 904608 974408 1096209 1206144 1461612 1809216 1948816 2192418 2412288 2923224 3288627 3618432 3897632 4384836 5846448 6577254 7236864 7795264 8769672 9865881 11692896 13154508 15590528 17539344 19731762 23385792 26309016 31181056 35078688 39463524 46771584 52618032 70157376 78927048 93543168 105236064 140314752 157854096 210472128 280629504 315708192 420944256 631416384 841888512 1262832768 2525665536