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66268145476 = 2213299012
BaseRepresentation
bin111101101101111000…
…111010011101000100
320100001100012120212101
4331231320322131010
52041204121123401
650235420201444
74534120641211
oct755570723504
9210040176771
1066268145476
1126116705585
1210a15099284
13633124c900
1432c9142b08
151accba6101
hexf6de3a744

66268145476 has 27 divisors (see below), whose sum is σ = 125588859543. Its totient is φ = 30582208800.

The previous prime is 66268145473. The next prime is 66268145479. The reversal of 66268145476 is 67454186266.

It is a happy number.

The square root of 66268145476 is 257426.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (66268145473) and next prime (66268145479).

It can be written as a sum of positive squares in 4 ways, for example, as 2449260100 + 63818885376 = 49490^2 + 252624^2 .

It is a super-3 number, since 3×662681454763 (a number of 33 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (66268145473) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6688126 + ... + 6698026.

Almost surely, 266268145476 is an apocalyptic number.

66268145476 is the 257426-th square number.

It is an amenable number.

66268145476 is a deficient number, since it is larger than the sum of its proper divisors (59320714067).

66268145476 is an frugal number, since it uses more digits than its factorization.

66268145476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19832 (or 9916 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 55.

The spelling of 66268145476 in words is "sixty-six billion, two hundred sixty-eight million, one hundred forty-five thousand, four hundred seventy-six".

Divisors: 1 2 4 13 26 52 169 338 676 9901 19802 39604 128713 257426 514852 1673269 3346538 6693076 98029801 196059602 392119204 1274387413 2548774826 5097549652 16567036369 33134072738 66268145476