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57408983856 = 24327104954293
BaseRepresentation
bin110101011101110101…
…111001001100110000
312111011221010112210100
4311131311321030300
51420033144440411
642212345432400
74101435211530
oct653565711460
9174157115710
1057408983856
112238a969304
12b16219b700
13554ba11443
142ac870d4c0
151760049456
hexd5dd79330

57408983856 has 120 divisors (see below), whose sum is σ = 183796048800. Its totient is φ = 16386628608.

The previous prime is 57408983851. The next prime is 57408983887. The reversal of 57408983856 is 65838980475.

57408983856 is a `hidden beast` number, since 574 + 0 + 8 + 9 + 8 + 3 + 8 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 57408983793 and 57408983802.

It is not an unprimeable number, because it can be changed into a prime (57408983851) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1030246 + ... + 1084538.

It is an arithmetic number, because the mean of its divisors is an integer number (1531633740).

Almost surely, 257408983856 is an apocalyptic number.

57408983856 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 57408983856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91898024400).

57408983856 is an abundant number, since it is smaller than the sum of its proper divisors (126387064944).

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

57408983856 is a wasteful number, since it uses less digits than its factorization.

57408983856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55363 (or 55354 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 57408983856 in words is "fifty-seven billion, four hundred eight million, nine hundred eighty-three thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 1049 2098 3147 4196 6294 7343 8392 9441 12588 14686 16784 18882 22029 25176 29372 37764 44058 50352 54293 58744 66087 75528 88116 108586 117488 132174 151056 162879 176232 217172 264348 325758 352464 380051 434344 488637 528696 651516 760102 868688 977274 1057392 1140153 1303032 1520204 1954548 2280306 2606064 3040408 3420459 3909096 4560612 6080816 6840918 7818192 9121224 13681836 18242448 27363672 54727344 56953357 113906714 170860071 227813428 341720142 398673499 455626856 512580213 683440284 797346998 911253712 1025160426 1196020497 1366880568 1594693996 2050320852 2392040994 2733761136 3189387992 3588061491 4100641704 4784081988 6378775984 7176122982 8201283408 9568163976 14352245964 19136327952 28704491928 57408983856