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11403785920 = 265416712973
BaseRepresentation
bin10101001111011011…
…11111011011000000
31002102202020100101111
422213231333123000
5141323332122140
65123330413104
7552411403162
oct124755773300
932382210344
1011403785920
11492215a16a
122263131194
1310c9793227
147a277c932
1546b24e7ea
hex2a7b7f6c0

11403785920 has 112 divisors (see below), whose sum is σ = 28234952928. Its totient is φ = 4383498240.

The previous prime is 11403785909. The next prime is 11403785923. The reversal of 11403785920 is 2958730411.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (11403785923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 872554 + ... + 885526.

It is an arithmetic number, because the mean of its divisors is an integer number (252097794).

Almost surely, 211403785920 is an apocalyptic number.

11403785920 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 11403785920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14117476464).

11403785920 is an abundant number, since it is smaller than the sum of its proper divisors (16831167008).

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

11403785920 is a wasteful number, since it uses less digits than its factorization.

11403785920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13098 (or 13088 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The spelling of 11403785920 in words is "eleven billion, four hundred three million, seven hundred eighty-five thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 67 80 82 134 160 164 205 268 320 328 335 410 536 656 670 820 1072 1312 1340 1640 2144 2624 2680 2747 3280 4288 5360 5494 6560 10720 10988 12973 13120 13735 21440 21976 25946 27470 43952 51892 54940 64865 87904 103784 109880 129730 175808 207568 219760 259460 415136 439520 518920 531893 830272 869191 879040 1037840 1063786 1738382 2075680 2127572 2659465 3476764 4151360 4255144 4345955 5318930 6953528 8510288 8691910 10637860 13907056 17020576 17383820 21275720 27814112 34041152 34767640 35636831 42551440 55628224 69535280 71273662 85102880 139070560 142547324 170205760 178184155 278141120 285094648 356368310 570189296 712736620 1140378592 1425473240 2280757184 2850946480 5701892960 11403785920