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10245104660142 = 2341173629912503
BaseRepresentation
bin1001010100010101111111…
…0100101110111010101110
31100021102101221220002010000
42111011133310232322232
52320323433243111032
633442311444325130
72105120146521222
oct225053764567256
940242357802100
1010245104660142
11329aa19544a50
1211956a09a37a6
13594155c714c1
14275c19724782
1512b7730cae7c
hex9515fd2eeae

10245104660142 has 160 divisors (see below), whose sum is σ = 25392713068800. Its totient is φ = 3061317732480.

The previous prime is 10245104660111. The next prime is 10245104660179. The reversal of 10245104660142 is 24106640154201.

10245104660142 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 5 + 1 + 0 + 4 + 6 + 601 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10245104660097 and 10245104660106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 819405463 + ... + 819417965.

It is an arithmetic number, because the mean of its divisors is an integer number (158704456680).

Almost surely, 210245104660142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10245104660142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12696356534400).

10245104660142 is an abundant number, since it is smaller than the sum of its proper divisors (15147608408658).

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

10245104660142 is a wasteful number, since it uses less digits than its factorization.

10245104660142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18900 (or 18891 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 10245104660142 in words is "ten trillion, two hundred forty-five billion, one hundred four million, six hundred sixty thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 73 81 99 146 162 198 219 297 438 594 657 803 891 1314 1606 1782 1971 2409 3942 4818 5913 6299 7227 11826 12503 12598 14454 18897 21681 25006 37509 37794 43362 56691 65043 69289 75018 112527 113382 130086 137533 138578 170073 207867 225054 275066 337581 340146 412599 415734 459827 510219 623601 675162 825198 912719 919654 1012743 1020438 1237797 1247202 1379481 1825438 1870803 2025486 2475594 2738157 2758962 3713391 3741606 4138443 5058097 5476314 5612409 7426782 8214471 8276886 10039909 10116194 11140173 11224818 12415329 15174291 16428942 20079818 22280346 24643413 24830658 30119727 30348582 37245987 45522873 49286826 60239454 73930239 74491974 78756397 90359181 91045746 136568619 147860478 157512794 180718362 236269191 271077543 273137238 409705857 472538382 542155086 708807573 813232629 819411714 866320367 1417615146 1626465258 1732640734 2126422719 2598961101 4252845438 5197922202 5749216981 6379268157 7796883303 11498433962 12758536314 15593766606 17247650943 23390649909 34495301886 46781299818 51742952829 63241386791 70171949727 103485905658 126482773582 140343899454 155228858487 189724160373 310457716974 379448320746 465686575461 569172481119 931373150922 1138344962238 1707517443357 3415034886714 5122552330071 10245104660142