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20346436365640 = 23571134961188953
BaseRepresentation
bin1001010000001010001100…
…00111001010110101001000
32200001002201010121022200221
410220011012013022311020
510131324000202200030
6111135005051435424
74166660442365410
oct450050607126510
980032633538627
1020346436365640
116534969997120
122347338455b74
13b47878795778
14504ab66c9640
152543ce10ce7a
hex1281461cad48

20346436365640 has 128 divisors (see below), whose sum is σ = 57077652222720. Its totient is φ = 6341531443200.

The previous prime is 20346436365631. The next prime is 20346436365641. The reversal of 20346436365640 is 4656363464302.

It is not an unprimeable number, because it can be changed into a prime (20346436365641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107585404 + ... + 107774356.

It is an arithmetic number, because the mean of its divisors is an integer number (445919157990).

Almost surely, 220346436365640 is an apocalyptic number.

20346436365640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20346436365640 is an abundant number, since it is smaller than the sum of its proper divisors (36731215857080).

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

20346436365640 is a wasteful number, since it uses less digits than its factorization.

20346436365640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223943 (or 223939 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 52.

The spelling of 20346436365640 in words is "twenty trillion, three hundred forty-six billion, four hundred thirty-six million, three hundred sixty-five thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 770 1540 3080 34961 69922 139844 174805 188953 244727 279688 349610 377906 384571 489454 699220 755812 769142 944765 978908 1223635 1322671 1398440 1511624 1538284 1889530 1922855 1957816 2078483 2447270 2645342 2691997 3076568 3779060 3845710 4156966 4894540 5290684 5383994 6613355 7558120 7691420 8313932 9789080 10392415 10581368 10767988 13226710 13459985 14549381 15382840 16627864 20784830 21535976 26453420 26919970 29098762 41569660 52906840 53839940 58197524 72746905 83139320 107679880 116395048 145493810 290987620 581975240 6605985833 13211971666 26423943332 33029929165 46241900831 52847886664 66059858330 72665844163 92483801662 132119716660 145331688326 184967603324 231209504155 264239433320 290663376652 363329220815 369935206648 462419008310 508660909141 581326753304 726658441630 924838016620 1017321818282 1453316883260 1849676033240 2034643636564 2543304545705 2906633766520 4069287273128 5086609091410 10173218182820 20346436365640