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19923855476640 = 2535139298618937
BaseRepresentation
bin1001000011110111000100…
…10101000000011110100000
32121112200221202002221022220
410201323202111000132200
510102413024000223030
6110212520504431040
74124310466163643
oct441734225003640
977480852087286
1019923855476640
116391729003695
122299462a78480
13b16a71b6b45b
144cc469575a5a
152483ea0e0a10
hex121ee25407a0

19923855476640 has 96 divisors (see below), whose sum is σ = 63211656795840. Its totient is φ = 5274804885504.

The previous prime is 19923855476627. The next prime is 19923855476641. The reversal of 19923855476640 is 4667455832991.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (19923855476641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149242749 + ... + 149376188.

It is an arithmetic number, because the mean of its divisors is an integer number (658454758290).

It is a 1-persistent number, because it is pandigital, but 2⋅19923855476640 = 39847710953280 is not.

Almost surely, 219923855476640 is an apocalyptic number.

19923855476640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

19923855476640 is an abundant number, since it is smaller than the sum of its proper divisors (43287801319200).

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

19923855476640 is a wasteful number, since it uses less digits than its factorization.

19923855476640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298619094 (or 298619086 counting only the distinct ones).

The product of its (nonzero) digits is 391910400, while the sum is 69.

The spelling of 19923855476640 in words is "nineteen trillion, nine hundred twenty-three billion, eight hundred fifty-five million, four hundred seventy-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 139 160 240 278 417 480 556 695 834 1112 1390 1668 2085 2224 2780 3336 4170 4448 5560 6672 8340 11120 13344 16680 22240 33360 66720 298618937 597237874 895856811 1194475748 1493094685 1791713622 2388951496 2986189370 3583427244 4479284055 4777902992 5972378740 7166854488 8958568110 9555805984 11944757480 14333708976 17917136220 23889514960 28667417952 35834272440 41508032243 47779029920 71668544880 83016064486 124524096729 143337089760 166032128972 207540161215 249048193458 332064257944 415080322430 498096386916 622620483645 664128515888 830160644860 996192773832 1245240967290 1328257031776 1660321289720 1992385547664 2490481934580 3320642579440 3984771095328 4980963869160 6641285158880 9961927738320 19923855476640