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20344113211760 = 24513211894110369
BaseRepresentation
bin1001010000000101110111…
…01001000010100101110000
32200000212201020011212200122
410220002323221002211300
510131304220440234020
6111133542342305412
74166546043041132
oct450027351024560
980025636155618
1020344113211760
1165339875a1238
1223469aa428268
13b475983a47c0
14504935d51052
152542e51b6125
hex1280bba42970

20344113211760 has 160 divisors (see below), whose sum is σ = 51190605049920. Its totient is φ = 7474515148800.

The previous prime is 20344113211727. The next prime is 20344113211801. The reversal of 20344113211760 is 6711231144302.

It is a self number, because there is not a number n which added to its sum of digits gives 20344113211760.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1962007856 + ... + 1962018224.

It is an arithmetic number, because the mean of its divisors is an integer number (319941281562).

Almost surely, 220344113211760 is an apocalyptic number.

20344113211760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20344113211760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25595302524960).

20344113211760 is an abundant number, since it is smaller than the sum of its proper divisors (30846491838160).

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

20344113211760 is a wasteful number, since it uses less digits than its factorization.

20344113211760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19547 (or 19541 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The spelling of 20344113211760 in words is "twenty trillion, three hundred forty-four billion, one hundred thirteen million, two hundred eleven thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 211 260 422 520 844 1040 1055 1688 2110 2743 3376 4220 5486 8440 8941 10369 10972 13715 16880 17882 20738 21944 27430 35764 41476 43888 44705 51845 54860 71528 82952 89410 103690 109720 116233 134797 143056 165904 178820 207380 219440 232466 269594 357640 414760 464932 539188 581165 673985 715280 829520 929864 1078376 1162330 1347970 1859728 1886551 2156752 2187859 2324660 2695940 3773102 4375718 4649320 5391880 7546204 8751436 9298640 9432755 10783760 10939295 15092408 17502872 18865510 21878590 24525163 28442167 30184816 35005744 37731020 43757180 49050326 56884334 75462040 87514360 92709229 98100652 113768668 122625815 142210835 150924080 175028720 185418458 196201304 227537336 245251630 284421670 370836916 392402608 455074672 463546145 490503260 568843340 741673832 927092290 981006520 1137686680 1205219977 1483347664 1854184580 1962013040 2275373360 2410439954 3708369160 4820879908 6026099885 7416738320 9641759816 12052199770 19283519632 19561647319 24104399540 39123294638 48208799080 78246589276 96417598160 97808236595 156493178552 195616473190 254301415147 312986357104 391232946380 508602830294 782465892760 1017205660588 1271507075735 1564931785520 2034411321176 2543014151470 4068822642352 5086028302940 10172056605880 20344113211760