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58555857663856 = 247349982325981
BaseRepresentation
bin11010101000001100110010…
…00110000111011101110000
321200022212220101210201001201
431110012121012013131300
530133334344030220411
6324312104544140544
715222343511551000
oct1524063106073560
9250285811721051
1058555857663856
1117726444115383
126698626307754
132689a41955bb7
141066193758000
156b828b46c3c1
hex354199187770

58555857663856 has 160 divisors (see below), whose sum is σ = 132736841600000. Its totient is φ = 25013682005760.

The previous prime is 58555857663847. The next prime is 58555857663983. The reversal of 58555857663856 is 65836675855585.

It is a self number, because there is not a number n which added to its sum of digits gives 58555857663856.

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, 2253782386 + ... + 2253808366.

It is an arithmetic number, because the mean of its divisors is an integer number (829605260000).

Almost surely, 258555857663856 is an apocalyptic number.

58555857663856 is a gapful number since it is divisible by the number (56) 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 58555857663856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66368420800000).

58555857663856 is an abundant number, since it is smaller than the sum of its proper divisors (74180983936144).

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

58555857663856 is a wasteful number, since it uses less digits than its factorization.

58555857663856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27332 (or 27312 counting only the distinct ones).

The product of its digits is 36288000000, while the sum is 82.

The spelling of 58555857663856 in words is "fifty-eight trillion, five hundred fifty-five billion, eight hundred fifty-seven million, six hundred sixty-three thousand, eight hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 343 392 499 686 784 823 998 1372 1646 1996 2744 3292 3493 3992 5488 5761 6584 6986 7984 11522 13168 13972 23044 24451 25981 27944 40327 46088 48902 51962 55888 80654 92176 97804 103924 161308 171157 181867 195608 207848 282289 322616 342314 363734 391216 410677 415696 564578 645232 684628 727468 821354 1129156 1273069 1369256 1454936 1642708 2258312 2546138 2738512 2874739 2909872 3285416 4516624 5092276 5749478 6570832 8911483 10184552 11498956 12964519 17822966 20123173 20369104 21382363 22997912 25929038 35645932 40246346 42764726 45995824 51858076 71291864 80492692 85529452 90751633 103716152 140862211 142583728 149676541 160985384 171058904 181503266 207432304 281724422 299353082 321970768 342117808 363006532 563448844 598706164 635261431 726013064 1047735787 1126897688 1197412328 1270522862 1452026128 2095471574 2253795376 2394824656 2541045724 4190943148 4446830017 5082091448 7334150509 8381886296 8893660034 10164182896 10669799137 14668301018 16763772592 17787320068 21339598274 29336602036 35574640136 42679196548 58673204072 71149280272 74688593959 85358393096 117346408144 149377187918 170716786192 298754375836 522820157713 597508751672 1045640315426 1195017503344 2091280630852 3659741103991 4182561261704 7319482207982 8365122523408 14638964415964 29277928831928 58555857663856