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11054052540 = 22325233186131
BaseRepresentation
bin10100100101101111…
…10111010010111100
31001112101011001101100
422102313313102330
5140114314140130
65024514413100
7540633616266
oct122267672274
931471131340
1011054052540
1147627a7313
122185b91190
1310721a14bb
1476c140b36
1544a6b9c60
hex292df74bc

11054052540 has 144 divisors (see below), whose sum is σ = 36117559296. Its totient is φ = 2728598400.

The previous prime is 11054052497. The next prime is 11054052601. The reversal of 11054052540 is 4525045011.

11054052540 is a `hidden beast` number, since 1 + 1 + 0 + 5 + 405 + 254 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85275 + ... + 171405.

It is an arithmetic number, because the mean of its divisors is an integer number (250816384).

Almost surely, 211054052540 is an apocalyptic number.

11054052540 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 11054052540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18058779648).

11054052540 is an abundant number, since it is smaller than the sum of its proper divisors (25063506756).

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

11054052540 is a wasteful number, since it uses less digits than its factorization.

11054052540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86200 (or 86195 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

Adding to 11054052540 its reverse (4525045011), we get a palindrome (15579097551).

The spelling of 11054052540 in words is "eleven billion, fifty-four million, fifty-two thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 31 36 45 46 60 62 69 90 92 93 115 124 138 155 180 186 207 230 276 279 310 345 372 414 460 465 558 620 690 713 828 930 1035 1116 1380 1395 1426 1860 2070 2139 2790 2852 3565 4140 4278 5580 6417 7130 8556 10695 12834 14260 21390 25668 32085 42780 64170 86131 128340 172262 258393 344524 430655 516786 775179 861310 1033572 1291965 1550358 1722620 1981013 2583930 2670061 3100716 3875895 3962026 5167860 5340122 5943039 7751790 7924052 8010183 9905065 10680244 11886078 13350305 15503580 16020366 17829117 19810130 23772156 24030549 26700610 29715195 32040732 35658234 39620260 40050915 48061098 53401220 59430390 61411403 71316468 80101830 89145585 96122196 118860780 120152745 122822806 160203660 178291170 184234209 240305490 245645612 307057015 356582340 368468418 480610980 552702627 614114030 736936836 921171045 1105405254 1228228060 1842342090 2210810508 2763513135 3684684180 5527026270 11054052540