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11725341040 = 24571131271459
BaseRepresentation
bin10101110101110001…
…01000000101110000
31010021011022001002101
422322320220011300
5143003141403130
65215254430144
7563364516520
oct127270500560
933234261071
1011725341040
114a777162a6
122332962354
13114b29a22a
147d3363680
154895ba1ca
hex2bae28170

11725341040 has 160 divisors (see below), whose sum is σ = 31700828160. Its totient is φ = 3950456832.

The previous prime is 11725341037. The next prime is 11725341071. The reversal of 11725341040 is 4014352711.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8035831 + ... + 8037289.

It is an arithmetic number, because the mean of its divisors is an integer number (198130176).

Almost surely, 211725341040 is an apocalyptic number.

11725341040 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 11725341040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15850414080).

11725341040 is an abundant number, since it is smaller than the sum of its proper divisors (19975487120).

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

11725341040 is a wasteful number, since it uses less digits than its factorization.

11725341040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1719 (or 1713 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

Adding to 11725341040 its reverse (4014352711), we get a palindrome (15739693751).

The spelling of 11725341040 in words is "eleven billion, seven hundred twenty-five million, three hundred forty-one thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 113 127 140 226 254 280 452 508 560 565 635 791 889 904 1016 1130 1270 1459 1582 1778 1808 2032 2260 2540 2918 3164 3556 3955 4445 4520 5080 5836 6328 7112 7295 7910 8890 9040 10160 10213 11672 12656 14224 14351 14590 15820 17780 20426 23344 28702 29180 31640 35560 40852 51065 57404 58360 63280 71120 71755 81704 100457 102130 114808 116720 143510 163408 164867 185293 200914 204260 229616 287020 329734 370586 401828 408520 502285 574040 659468 741172 803656 817040 824335 926465 1004570 1148080 1154069 1297051 1318936 1482344 1607312 1648670 1852930 2009140 2308138 2594102 2637872 2964688 3297340 3705860 4018280 4616276 5188204 5770345 6485255 6594680 7411720 8036560 9232552 10376408 11540690 12970510 13189360 14823440 18465104 20752816 20938109 23081380 25941020 41876218 46162760 51882040 83752436 92325520 103764080 104690545 146566763 167504872 209381090 293133526 335009744 418762180 586267052 732833815 837524360 1172534104 1465667630 1675048720 2345068208 2931335260 5862670520 11725341040