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153442220012730 = 232511615125197877
BaseRepresentation
bin100010111000111000001101…
…000001000111010010111010
3202010021221012010201022022200
4202320320031001013102322
5130102444131310401410
61302202214401131030
744214556153122555
oct4270701501072272
9663257163638280
10153442220012730
1144989530a6a840
1215262169029a76
1367807019a71ac
1429c690084d69c
1512b15b6dc53c0
hex8b8e0d0474ba

153442220012730 has 96 divisors (see below), whose sum is σ = 435288706040448. Its totient is φ = 37192064976000.

The previous prime is 153442220012713. The next prime is 153442220012747. The reversal of 153442220012730 is 37210022244351.

153442220012730 is a `hidden beast` number, since 1 + 5 + 3 + 4 + 422 + 200 + 1 + 27 + 3 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (153442220012713) and next prime (153442220012747).

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, 6509449 + ... + 18688428.

It is an arithmetic number, because the mean of its divisors is an integer number (4534257354588).

Almost surely, 2153442220012730 is an apocalyptic number.

153442220012730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

153442220012730 is an abundant number, since it is smaller than the sum of its proper divisors (281846486027718).

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

153442220012730 is a wasteful number, since it uses less digits than its factorization.

153442220012730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25204052 (or 25204049 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 153442220012730 in words is "one hundred fifty-three trillion, four hundred forty-two billion, two hundred twenty million, twelve thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 6151 12302 18453 30755 36906 55359 61510 67661 92265 110718 135322 184530 202983 276795 338305 405966 553590 608949 676610 1014915 1217898 2029830 3044745 6089490 25197877 50395754 75593631 125989385 151187262 226780893 251978770 277176647 377968155 453561786 554353294 755936310 831529941 1133904465 1385883235 1663059882 2267808930 2494589823 2771766470 4157649705 4989179646 8315299410 12472949115 24945898230 154992141427 309984282854 464976424281 774960707135 929952848562 1394929272843 1549921414270 1704913555697 2324882121405 2789858545686 3409827111394 4649764242810 5114740667091 6974646364215 8524567778485 10229481334182 13949292728430 15344222001273 17049135556970 25573703335455 30688444002546 51147406670910 76721110006365 153442220012730