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4968557055 = 3257112612137
BaseRepresentation
bin1001010000010011…
…00010100111111111
3110211021012211221200
410220021202213333
540133422311210
62141005230543
7234061016040
oct45011424777
913737184850
104968557055
11211a691500
12b67b62453
1361249cbb7
14351c388c7
151e12e50c0
hex1282629ff

4968557055 has 144 divisors (see below), whose sum is σ = 11001087552. Its totient is φ = 2030054400.

The previous prime is 4968557051. The next prime is 4968557063. The reversal of 4968557055 is 5507558694.

4968557055 is a `hidden beast` number, since 4 + 9 + 68 + 5 + 570 + 5 + 5 = 666.

It is not a de Polignac number, because 4968557055 - 22 = 4968557051 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4968556992 and 4968557010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4968557051) 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 143 ways as a sum of consecutive naturals, for example, 2323947 + ... + 2326083.

Almost surely, 24968557055 is an apocalyptic number.

4968557055 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4968557055 is an abundant number, since it is smaller than the sum of its proper divisors (6032530497).

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

4968557055 is a wasteful number, since it uses less digits than its factorization.

4968557055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2238 (or 2224 counting only the distinct ones).

The product of its (nonzero) digits is 7560000, while the sum is 54.

The square root of 4968557055 is about 70487.9922752805. The cubic root of 4968557055 is about 1706.3839613052.

The spelling of 4968557055 in words is "four billion, nine hundred sixty-eight million, five hundred fifty-seven thousand, fifty-five".

Divisors: 1 3 5 7 9 11 15 21 33 35 45 55 61 63 77 99 105 121 165 183 231 305 315 363 385 427 495 549 605 671 693 847 915 1089 1155 1281 1815 2013 2135 2137 2541 2745 3355 3465 3843 4235 4697 5445 6039 6405 6411 7381 7623 10065 10685 12705 14091 14959 19215 19233 22143 23485 23507 30195 32055 36905 38115 42273 44877 51667 66429 70455 70521 74795 96165 110715 117535 130357 134631 155001 164549 211365 211563 224385 258335 258577 332145 352605 391071 465003 493647 651785 673155 775005 775731 822745 912499 1057815 1173213 1292885 1433927 1480941 1810039 1955355 2325015 2327193 2468235 2737497 3878655 4301781 4562495 5430117 5866065 7169635 7404705 8212491 9050195 10037489 11635965 12905343 13687485 15773197 16290351 21508905 27150585 30112467 41062455 47319591 50187445 64526715 78865985 81451755 90337401 110412379 141958773 150562335 236597955 331237137 451687005 552061895 709793865 993711411 1656185685 4968557055