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11485912452 = 2237192478059
BaseRepresentation
bin10101011001001110…
…10001110110000100
31002122110202210210220
422230213101312010
5142010343144302
65135422544340
7554426434140
oct125447216604
932573683726
1011485912452
114964553033
1222867380b0
1311107b9501
147ad63a220
154735734bc
hex2ac9d1d84

11485912452 has 144 divisors (see below), whose sum is σ = 33017886720. Its totient is φ = 3042442944.

The previous prime is 11485912411. The next prime is 11485912483. The reversal of 11485912452 is 25421958411.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 1421199 + ... + 1429257.

It is an arithmetic number, because the mean of its divisors is an integer number (229290880).

Almost surely, 211485912452 is an apocalyptic number.

11485912452 is a gapful number since it is divisible by the number (12) 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 11485912452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16508943360).

11485912452 is an abundant number, since it is smaller than the sum of its proper divisors (21531974268).

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

11485912452 is a wasteful number, since it uses less digits than its factorization.

11485912452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8158 (or 8137 counting only the distinct ones).

The product of its digits is 115200, while the sum is 42.

The spelling of 11485912452 in words is "eleven billion, four hundred eighty-five million, nine hundred twelve thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 47 57 76 84 94 114 133 141 188 228 266 282 329 361 399 532 564 658 722 798 893 987 1083 1316 1444 1596 1786 1974 2166 2527 2679 3572 3948 4332 5054 5358 6251 7581 8059 10108 10716 12502 15162 16118 16967 18753 24177 25004 30324 32236 33934 37506 48354 50901 56413 67868 75012 96708 101802 112826 118769 153121 169239 203604 225652 237538 306242 338478 356307 378773 459363 475076 612484 676956 712614 757546 918726 1071847 1136319 1425228 1515092 1837452 2143694 2272638 2651411 2909299 3215541 4287388 4545276 5302822 5818598 6431082 7196687 7954233 8727897 10605644 11637196 12862164 14393374 15908466 17455794 20365093 21590061 28786748 31816932 34911588 40730186 43180122 50376809 61095279 81460372 86360244 100753618 122190558 136737053 151130427 201507236 244381116 273474106 302260854 410211159 546948212 604521708 820422318 957159371 1640844636 1914318742 2871478113 3828637484 5742956226 11485912452