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4268918496 = 253235336479
BaseRepresentation
bin1111111001110010…
…1000011011100000
3102000111201112021110
43332130220123200
532220320342441
61543333423320
7210534131343
oct37634503340
912014645243
104268918496
1118a0769717
129b179ab40
1353055919b
142c6d5645a
1519eb94b16
hexfe7286e0

4268918496 has 96 divisors (see below), whose sum is σ = 11914076160. Its totient is φ = 1335386624.

The previous prime is 4268918471. The next prime is 4268918513. The reversal of 4268918496 is 6948198624.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×42689184963 (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 98785 + ... + 135263.

It is an arithmetic number, because the mean of its divisors is an integer number (124104960).

Almost surely, 24268918496 is an apocalyptic number.

4268918496 is a gapful number since it is divisible by the number (46) 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 4268918496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5957038080).

4268918496 is an abundant number, since it is smaller than the sum of its proper divisors (7645157664).

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

4268918496 is a wasteful number, since it uses less digits than its factorization.

4268918496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36568 (or 36560 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 57.

The square root of 4268918496 is about 65336.9611781876. The cubic root of 4268918496 is about 1622.2058169883.

The spelling of 4268918496 in words is "four billion, two hundred sixty-eight million, nine hundred eighteen thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 53 69 92 96 106 138 159 184 212 276 318 368 424 552 636 736 848 1104 1219 1272 1696 2208 2438 2544 3657 4876 5088 7314 9752 14628 19504 29256 36479 39008 58512 72958 109437 117024 145916 218874 291832 437748 583664 839017 875496 1167328 1678034 1750992 1933387 2517051 3356068 3501984 3866774 5034102 5800161 6712136 7733548 10068204 11600322 13424272 15467096 20136408 23200644 26848544 30934192 40272816 44467901 46401288 61868384 80545632 88935802 92802576 133403703 177871604 185605152 266807406 355743208 533614812 711486416 1067229624 1422972832 2134459248 4268918496