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4666897728 = 26333187121
BaseRepresentation
bin1000101100010101…
…10011010101000000
3110001020120222011000
410112022303111000
534024211211403
62051031452000
7223435655553
oct42612632500
913036528130
104666897728
111a85384379
12aa2b27000
13594b40a5c
14323b5269a
151c4aa97a3
hex1162b3540

4666897728 has 112 divisors (see below), whose sum is σ = 14162552320. Its totient is φ = 1505433600.

The previous prime is 4666897721. The next prime is 4666897733. The reversal of 4666897728 is 8277986664.

It is a super-2 number, since 2×46668977282 = 43559868807223123968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4666897721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10008 + ... + 97128.

It is an arithmetic number, because the mean of its divisors is an integer number (126451360).

Almost surely, 24666897728 is an apocalyptic number.

4666897728 is a gapful number since it is divisible by the number (48) 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 4666897728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7081276160).

4666897728 is an abundant number, since it is smaller than the sum of its proper divisors (9495654592).

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

4666897728 is a wasteful number, since it uses less digits than its factorization.

4666897728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87173 (or 87157 counting only the distinct ones).

The product of its digits is 48771072, while the sum is 63.

The square root of 4666897728 is about 68314.6962812542. The cubic root of 4666897728 is about 1671.1268916593.

The spelling of 4666897728 in words is "four billion, six hundred sixty-six million, eight hundred ninety-seven thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 93 96 108 124 144 186 192 216 248 279 288 372 432 496 558 576 744 837 864 992 1116 1488 1674 1728 1984 2232 2976 3348 4464 5952 6696 8928 13392 17856 26784 53568 87121 174242 261363 348484 522726 696968 784089 1045452 1393936 1568178 2090904 2352267 2700751 2787872 3136356 4181808 4704534 5401502 5575744 6272712 8102253 8363616 9409068 10803004 12545424 16204506 16727232 18818136 21606008 24306759 25090848 32409012 37636272 43212016 48613518 50181696 64818024 72920277 75272544 86424032 97227036 129636048 145840554 150545088 172848064 194454072 259272096 291681108 388908144 518544192 583362216 777816288 1166724432 1555632576 2333448864 4666897728