Search a number
-
+
11245725720 = 233454773849
BaseRepresentation
bin10100111100100110…
…00010100000011000
31002000201211001120000
422132103002200120
5141012401210340
65055522533000
7545452043235
oct123623024030
932021731500
1011245725720
114850a121a9
12221a207160
1310a2b01698
1478979678c
1545c42bd30
hex29e4c2818

11245725720 has 160 divisors (see below), whose sum is σ = 38602872000. Its totient is φ = 2935014912.

The previous prime is 11245725707. The next prime is 11245725773. The reversal of 11245725720 is 2752754211.

11245725720 is a `hidden beast` number, since 1 + 12 + 4 + 5 + 72 + 572 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 115356 + ... + 189204.

It is an arithmetic number, because the mean of its divisors is an integer number (241267950).

Almost surely, 211245725720 is an apocalyptic number.

11245725720 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 11245725720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19301436000).

11245725720 is an abundant number, since it is smaller than the sum of its proper divisors (27357146280).

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

11245725720 is a wasteful number, since it uses less digits than its factorization.

11245725720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73919 (or 73906 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The spelling of 11245725720 in words is "eleven billion, two hundred forty-five million, seven hundred twenty-five thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 47 54 60 72 81 90 94 108 120 135 141 162 180 188 216 235 270 282 324 360 376 405 423 470 540 564 648 705 810 846 940 1080 1128 1269 1410 1620 1692 1880 2115 2538 2820 3240 3384 3807 4230 5076 5640 6345 7614 8460 10152 12690 15228 16920 19035 25380 30456 38070 50760 73849 76140 147698 152280 221547 295396 369245 443094 590792 664641 738490 886188 1107735 1329282 1476980 1772376 1993923 2215470 2658564 2953960 3323205 3470903 3987846 4430940 5317128 5981769 6646410 6941806 7975692 8861880 9969615 10412709 11963538 13292820 13883612 15951384 17354515 19939230 20825418 23927076 26585640 27767224 29908845 31238127 34709030 39878460 41650836 47854152 52063545 59817690 62476254 69418060 79756920 83301672 93714381 104127090 119635380 124952508 138836120 156190635 187428762 208254180 239270760 249905016 281143143 312381270 374857524 416508360 468571905 562286286 624762540 749715048 937143810 1124572572 1249525080 1405715715 1874287620 2249145144 2811431430 3748575240 5622862860 11245725720