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11531253360 = 2435116436793
BaseRepresentation
bin10101011110101000…
…01111011001110000
31002202122002100211210
422233110033121300
5142104000101420
65144122440120
7555520015314
oct125724173160
932678070753
1011531253360
114988101360
122299963040
13111a003053
147b567db44
1547752c9e0
hex2af50f670

11531253360 has 160 divisors (see below), whose sum is σ = 39062999808. Its totient is φ = 2790696960.

The previous prime is 11531253359. The next prime is 11531253367. The reversal of 11531253360 is 6335213511.

It is a super-2 number, since 2×115312533602 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11531253367) 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, 1694124 + ... + 1700916.

Almost surely, 211531253360 is an apocalyptic number.

11531253360 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 11531253360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19531499904).

11531253360 is an abundant number, since it is smaller than the sum of its proper divisors (27531746448).

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

11531253360 is a wasteful number, since it uses less digits than its factorization.

11531253360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7463 (or 7457 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 30.

Adding to 11531253360 its reverse (6335213511), we get a palindrome (17866466871).

The spelling of 11531253360 in words is "eleven billion, five hundred thirty-one million, two hundred fifty-three thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 643 660 880 1286 1320 1929 2572 2640 3215 3858 5144 6430 6793 7073 7716 9645 10288 12860 13586 14146 15432 19290 20379 21219 25720 27172 28292 30864 33965 35365 38580 40758 42438 51440 54344 56584 67930 70730 74723 77160 81516 84876 101895 106095 108688 113168 135860 141460 149446 154320 163032 169752 203790 212190 224169 271720 282920 298892 326064 339504 373615 407580 424380 448338 543440 565840 597784 747230 815160 848760 896676 1120845 1195568 1494460 1630320 1697520 1793352 2241690 2988920 3586704 4367899 4483380 5977840 8735798 8966760 13103697 17471596 17933520 21839495 26207394 34943192 43678990 48046889 52414788 65518485 69886384 87357980 96093778 104829576 131036970 144140667 174715960 192187556 209659152 240234445 262073940 288281334 349431920 384375112 480468890 524147880 576562668 720703335 768750224 960937780 1048295760 1153125336 1441406670 1921875560 2306250672 2882813340 3843751120 5765626680 11531253360