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11530533040 = 24513191733373
BaseRepresentation
bin10101011110100010…
…11111100010110000
31002202120201202202021
422233101133202300
5142103304024130
65144055201224
7555510625255
oct125721374260
932676652667
1011530533040
11498775a154
122299676214
131119b10220
147b553342c
1547743937a
hex2af45f8b0

11530533040 has 160 divisors (see below), whose sum is σ = 30574918080. Its totient is φ = 4008849408.

The previous prime is 11530533019. The next prime is 11530533043. The reversal of 11530533040 is 4033503511.

It is a junction number, because it is equal to n+sod(n) for n = 11530532996 and 11530533014.

It is not an unprimeable number, because it can be changed into a prime (11530533043) 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, 3416794 + ... + 3420166.

It is an arithmetic number, because the mean of its divisors is an integer number (191093238).

Almost surely, 211530533040 is an apocalyptic number.

11530533040 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 11530533040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15287459040).

11530533040 is an abundant number, since it is smaller than the sum of its proper divisors (19044385040).

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

11530533040 is a wasteful number, since it uses less digits than its factorization.

11530533040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3591 (or 3585 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 25.

The spelling of 11530533040 in words is "eleven billion, five hundred thirty million, five hundred thirty-three thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 19 20 26 38 40 52 65 76 80 95 104 130 152 173 190 208 247 260 304 346 380 494 520 692 760 865 988 1040 1235 1384 1520 1730 1976 2249 2470 2768 3287 3373 3460 3952 4498 4940 6574 6746 6920 8996 9880 11245 13148 13492 13840 16435 16865 17992 19760 22490 26296 26984 32870 33730 35984 42731 43849 44980 52592 53968 64087 65740 67460 85462 87698 89960 128174 131480 134920 170924 175396 179920 213655 219245 256348 262960 269840 320435 341848 350792 427310 438490 512696 583529 640870 683696 701584 833131 854620 876980 1025392 1167058 1281740 1666262 1709240 1753960 2334116 2563480 2917645 3332524 3418480 3507920 4165655 4668232 5126960 5835290 6665048 7585877 8331310 9336464 11087051 11670580 13330096 15171754 16662620 22174102 23341160 30343508 33325240 37929385 44348204 46682320 55435255 60687016 66650480 75858770 88696408 110870510 121374032 144131663 151717540 177392816 221741020 288263326 303435080 443482040 576526652 606870160 720658315 886964080 1153053304 1441316630 2306106608 2882633260 5765266520 11530533040