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11532153450660 = 22353449402113859
BaseRepresentation
bin1010011111010000100111…
…1010001111000010100100
31111211110111121020220212220
42213310021322033002210
53002420322240410120
640305444222512340
72300112340654443
oct247641172170244
944743447226786
1011532153450660
113746838a86827
121363012a356b0
13658628b1a97b
142bc232c04d5a
1514ee9eedab40
hexa7d09e8f0a4

11532153450660 has 96 divisors (see below), whose sum is σ = 32309755632000. Its totient is φ = 3073362938880.

The previous prime is 11532153450523. The next prime is 11532153450661. The reversal of 11532153450660 is 6605435123511.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (11532153450661) 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, 832098811 + ... + 832112669.

It is an arithmetic number, because the mean of its divisors is an integer number (336559954500).

Almost surely, 211532153450660 is an apocalyptic number.

11532153450660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11532153450660 is an abundant number, since it is smaller than the sum of its proper divisors (20777602181340).

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

11532153450660 is a wasteful number, since it uses less digits than its factorization.

11532153450660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21341 (or 21339 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 42.

The spelling of 11532153450660 in words is "eleven trillion, five hundred thirty-two billion, one hundred fifty-three million, four hundred fifty thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 3449 4021 6898 8042 10347 12063 13796 13859 16084 17245 20105 20694 24126 27718 34490 40210 41388 41577 48252 51735 55436 60315 68980 69295 80420 83154 103470 120630 138590 166308 206940 207885 241260 277180 415770 831540 13868429 27736858 41605287 47799691 55473716 55727039 69342145 83210574 95599382 111454078 138684290 143399073 166421148 167181117 191198764 208026435 222908156 238998455 277368580 278635195 286798146 334362234 416052870 477996910 557270390 573596292 668724468 716995365 832105740 835905585 955993820 1114540780 1433990730 1671811170 2867981460 3343622340 192202557511 384405115022 576607672533 768810230044 961012787555 1153215345066 1922025575110 2306430690132 2883038362665 3844051150220 5766076725330 11532153450660