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253505645662434 = 2311191572801459703
BaseRepresentation
bin111001101000111111100001…
…111101010101000011100010
31020020120220101022120200022120
4321220333201331111003202
5231211414030242144214
62255054515203445110
7104253115136356554
oct7150774175250342
91206526338520276
10253505645662434
1173858160109330
1224523113986796
13ab5b6311b3c79
144685a4b07b4d4
151e493e4a19ea9
hexe68fe1f550e2

253505645662434 has 128 divisors (see below), whose sum is σ = 586132750264320. Its totient is φ = 72287220096000.

The previous prime is 253505645662427. The next prime is 253505645662459. The reversal of 253505645662434 is 434266546505352.

It is a super-2 number, since 2×2535056456624342 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 551225427 + ... + 551685129.

It is an arithmetic number, because the mean of its divisors is an integer number (4579162111440).

Almost surely, 2253505645662434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253505645662434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293066375132160).

253505645662434 is an abundant number, since it is smaller than the sum of its proper divisors (332627104601886).

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

253505645662434 is a wasteful number, since it uses less digits than its factorization.

253505645662434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462696.

The product of its (nonzero) digits is 311040000, while the sum is 60.

The spelling of 253505645662434 in words is "two hundred fifty-three trillion, five hundred five billion, six hundred forty-five million, six hundred sixty-two thousand, four hundred thirty-four".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 157 209 314 418 471 627 942 1254 1727 2801 2983 3454 5181 5602 5966 8403 8949 10362 16806 17898 30811 32813 53219 61622 65626 92433 98439 106438 159657 184866 196878 319314 439757 459703 585409 879514 919406 1170818 1319271 1379109 1756227 2638542 2758218 3512454 4837327 5056733 8355383 8734357 9674654 10113466 14511981 15170199 16710766 17468714 25066149 26203071 29023962 30340398 50132298 52406142 72173371 91909213 96077927 144346742 183818426 192155854 216520113 275727639 288233781 433040226 551455278 576467562 793907081 1287628103 1371294049 1587814162 2381721243 2575256206 2742588098 3862884309 4113882147 4763442486 7725768618 8227764294 14163909133 15084234539 24464933957 28327818266 30168469078 42491727399 45252703617 48929867914 73394801871 84983454798 90505407234 146789603742 202157612171 269114273527 404315224342 538228547054 606472836513 807342820581 1212945673026 1614685641162 2223733733881 3840994631249 4447467467762 6671201201643 7681989262498 11522983893747 13342402403286 23045967787494 42250940943739 84501881887478 126752822831217 253505645662434