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42466964625 = 3253413072999
BaseRepresentation
bin100111100011001110…
…100111010010010001
311001121121002022202200
4213203032213102101
51143433020332000
631301542233413
73032241146331
oct474316472221
9131547068680
1042466964625
1117012549088
128292125869
13400a1b6247
1420ac09d0c1
151188389500
hex9e33a7491

42466964625 has 96 divisors (see below), whose sum is σ = 78702624000. Its totient is φ = 22017312000.

The previous prime is 42466964591. The next prime is 42466964627. The reversal of 42466964625 is 52646966424.

42466964625 is a `hidden beast` number, since 4 + 2 + 4 + 6 + 6 + 9 + 6 + 4 + 625 = 666.

42466964625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-42466964625 is a prime.

It is a super-2 number, since 2×424669646252 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42466964627) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14158876 + ... + 14161874.

It is an arithmetic number, because the mean of its divisors is an integer number (819819000).

Almost surely, 242466964625 is an apocalyptic number.

42466964625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42466964625 is a deficient number, since it is larger than the sum of its proper divisors (36235659375).

42466964625 is a wasteful number, since it uses less digits than its factorization.

42466964625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3368 (or 3355 counting only the distinct ones).

The product of its digits is 14929920, while the sum is 54.

The spelling of 42466964625 in words is "forty-two billion, four hundred sixty-six million, nine hundred sixty-four thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 41 45 75 123 125 205 225 307 369 375 615 921 1025 1125 1535 1845 2763 2999 3075 4605 5125 7675 8997 9225 12587 13815 14995 15375 23025 26991 37761 38375 44985 46125 62935 69075 74975 113283 115125 122959 134955 188805 224925 314675 345375 368877 374875 566415 614795 674775 920693 944025 1106631 1124625 1573375 1844385 2762079 2832075 3073975 3373875 4603465 4720125 5533155 8286237 9221925 13810395 14160375 15369875 23017325 27665775 37748413 41431185 46109625 69051975 113245239 115086625 138328875 188742065 207155925 339735717 345259875 566226195 943710325 1035779625 1698678585 2831130975 4718551625 8493392925 14155654875 42466964625