Search a number
-
+
132180117735248 = 241171127643129533
BaseRepresentation
bin11110000011011110010100…
…111101101100011101010000
3122100000021222200011010101022
4132003132110331230131100
5114311114340120011443
61145042412515055012
736561461352536222
oct3603362475543520
9570007880133338
10132180117735248
1139131300595450
12129a9485ba1468
13589a6bac73c0b
14248d7a2334412
151043495288e68
hex783794f6c750

132180117735248 has 160 divisors (see below), whose sum is σ = 285992767291392. Its totient is φ = 58677374246400.

The previous prime is 132180117735241. The next prime is 132180117735269. The reversal of 132180117735248 is 842537711081231.

It is a self number, because there is not a number n which added to its sum of digits gives 132180117735248.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132180117735241) 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, 1020371090 + ... + 1020500622.

Almost surely, 2132180117735248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132180117735248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142996383645696).

132180117735248 is an abundant number, since it is smaller than the sum of its proper divisors (153812649556144).

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

132180117735248 is a wasteful number, since it uses less digits than its factorization.

132180117735248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130393 (or 130387 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 53.

The spelling of 132180117735248 in words is "one hundred thirty-two trillion, one hundred eighty billion, one hundred seventeen million, seven hundred thirty-five thousand, two hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 44 71 88 127 142 176 254 284 508 568 643 781 1016 1136 1286 1397 1562 2032 2572 2794 3124 5144 5588 6248 7073 9017 10288 11176 12496 14146 18034 22352 28292 36068 45653 56584 72136 81661 91306 99187 113168 129533 144272 163322 182612 198374 259066 326644 365224 396748 502183 518132 653288 730448 793496 898271 1004366 1036264 1306576 1424863 1586992 1796542 2008732 2072528 2849726 3593084 4017464 5699452 5797931 7186168 8034928 9196843 11398904 11595862 14372336 16450691 18393686 22797808 23191724 32901382 36787372 46383448 63777241 65802764 73574744 83289719 92766896 101165273 127554482 131605528 147149488 166579438 180957601 202330546 255108964 263211056 333158876 361915202 404661092 510217928 666317752 723830404 809322184 916186909 1020435856 1167999061 1332635504 1447660808 1618644368 1832373818 2335998122 2895321616 3664747636 4671996244 5913570049 7329495272 9343992488 10577794313 11827140098 12847989671 14658990544 18687984976 21155588626 23654280196 25695979342 42311177252 47308560392 51391958684 65049270539 84622354504 94617120784 102783917368 116355737443 130098541078 169244709008 205567834736 232711474886 260197082156 465422949772 520394164312 751023396223 930845899544 1040788328624 1502046792446 1861691799088 3004093584892 6008187169784 8261257358453 12016374339568 16522514716906 33045029433812 66090058867624 132180117735248