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11525030440 = 23571123162691
BaseRepresentation
bin10101011101111001…
…00000001000101000
31002202012101012121021
422232330200020220
5142100401433230
65143341222224
7555413066560
oct125674401050
932665335537
1011525030440
114984640a50
122297861974
131118934751
147b48ddda0
15476bedc7a
hex2aef20228

11525030440 has 128 divisors (see below), whose sum is σ = 33735813120. Its totient is φ = 3436012800.

The previous prime is 11525030399. The next prime is 11525030449. The reversal of 11525030440 is 4403052511.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (11525030449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10506 + ... + 152185.

It is an arithmetic number, because the mean of its divisors is an integer number (263561040).

Almost surely, 211525030440 is an apocalyptic number.

11525030440 is a gapful number since it is divisible by the number (10) 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 11525030440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16867906560).

11525030440 is an abundant number, since it is smaller than the sum of its proper divisors (22210782680).

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

11525030440 is a wasteful number, since it uses less digits than its factorization.

11525030440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162743 (or 162739 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 11525030440 its reverse (4403052511), we get a palindrome (15928082951).

The spelling of 11525030440 in words is "eleven billion, five hundred twenty-five million, thirty thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 23 28 35 40 44 46 55 56 70 77 88 92 110 115 140 154 161 184 220 230 253 280 308 322 385 440 460 506 616 644 770 805 920 1012 1265 1288 1540 1610 1771 2024 2530 3080 3220 3542 5060 6440 7084 8855 10120 14168 17710 35420 70840 162691 325382 650764 813455 1138837 1301528 1626910 1789601 2277674 3253820 3579202 3741893 4555348 5694185 6507640 7158404 7483786 8948005 9110696 11388370 12527207 14316808 14967572 17896010 18709465 22776740 25054414 26193251 29935144 35792020 37418930 41160823 45553480 50108828 52386502 62636035 71584040 74837860 82321646 100217656 104773004 125272070 130966255 149675720 164643292 205804115 209546008 250544140 261932510 288125761 329286584 411608230 501088280 523865020 576251522 823216460 1047730040 1152503044 1440628805 1646432920 2305006088 2881257610 5762515220 11525030440