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1132525163240 = 235791075036659
BaseRepresentation
bin10000011110101111110…
…000101001001011101000
311000021020121220020212022
4100132233300221023220
5122023402420210430
62224135212404012
7144552013024232
oct20365760511350
94007217806768
101132525163240
113a7334a25599
121635a8476608
1382a483700b3
143cb59033252
151e6d61264e5
hex107afc292e8

1132525163240 has 128 divisors (see below), whose sum is σ = 2610123264000. Its totient is φ = 442148299008.

The previous prime is 1132525163239. The next prime is 1132525163303. The reversal of 1132525163240 is 423615252311.

It is a super-3 number, since 3×11325251632403 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 1132525163240.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 170071031 + ... + 170077689.

It is an arithmetic number, because the mean of its divisors is an integer number (20391588000).

Almost surely, 21132525163240 is an apocalyptic number.

1132525163240 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 1132525163240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1305061632000).

1132525163240 is an abundant number, since it is smaller than the sum of its proper divisors (1477598100760).

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

1132525163240 is a wasteful number, since it uses less digits than its factorization.

1132525163240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7359 (or 7355 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 35.

The spelling of 1132525163240 in words is "one trillion, one hundred thirty-two billion, five hundred twenty-five million, one hundred sixty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 79 107 158 214 316 395 428 503 535 632 790 856 1006 1070 1580 2012 2140 2515 3160 4024 4280 5030 6659 8453 10060 13318 16906 20120 26636 33295 33812 39737 42265 53272 53821 66590 67624 79474 84530 107642 133180 158948 169060 198685 215284 266360 269105 317896 338120 397370 430568 526061 538210 712513 794740 1052122 1076420 1425026 1589480 2104244 2152840 2630305 2850052 3349477 3562565 4208488 4251859 5260610 5700104 6698954 7125130 8503718 10521220 13397908 14250260 16747385 17007436 21042440 21259295 26795816 28500520 33494770 34014872 42518590 56288527 66989540 85037180 112577054 133979080 170074360 225154108 264608683 281442635 358394039 450308216 529217366 562885270 716788078 1058434732 1125770540 1323043415 1433576156 1791970195 2116869464 2251541080 2646086830 2867152312 3583940390 5292173660 7167880780 10584347320 14335761560 28313129081 56626258162 113252516324 141565645405 226505032648 283131290810 566262581620 1132525163240