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56488052166 = 237131718133623
BaseRepresentation
bin110100100110111100…
…110100010111000110
312101210202020101000020
4310212330310113012
51411141420132131
641541131000010
74036553343510
oct644674642706
9171722211006
1056488052166
1121a5803a737
12ab45899006
135432c99550
142a3c2a4bb0
151709285996
hexd26f345c6

56488052166 has 128 divisors (see below), whose sum is σ = 148044589056. Its totient is φ = 13943715840.

The previous prime is 56488052111. The next prime is 56488052177. The reversal of 56488052166 is 66125088465.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1663231 + ... + 1696853.

It is an arithmetic number, because the mean of its divisors is an integer number (1156598352).

Almost surely, 256488052166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56488052166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74022294528).

56488052166 is an abundant number, since it is smaller than the sum of its proper divisors (91556536890).

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

56488052166 is a wasteful number, since it uses less digits than its factorization.

56488052166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33846.

The product of its (nonzero) digits is 2764800, while the sum is 51.

The spelling of 56488052166 in words is "fifty-six billion, four hundred eighty-eight million, fifty-two thousand, one hundred sixty-six".

Divisors: 1 2 3 6 7 13 14 17 21 26 34 39 42 51 78 91 102 119 181 182 221 238 273 357 362 442 543 546 663 714 1086 1267 1326 1547 2353 2534 3077 3094 3801 4641 4706 6154 7059 7602 9231 9282 14118 16471 18462 21539 32942 33623 40001 43078 49413 64617 67246 80002 98826 100869 120003 129234 201738 235361 240006 280007 437099 470722 560014 571591 706083 840021 874198 1143182 1311297 1412166 1680042 1714773 2622594 3059693 3429546 4001137 6085763 6119386 7430683 8002274 9179079 12003411 12171526 14861366 18257289 18358158 22292049 24006822 36514578 42600341 44584098 52014781 79114919 85200682 103457971 104029562 127801023 156044343 158229838 206915942 237344757 255602046 310373913 312088686 474689514 553804433 620747826 724205797 1107608866 1344953623 1448411594 1661413299 2172617391 2689907246 3322826598 4034860869 4345234782 8069721738 9414675361 18829350722 28244026083 56488052166