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67069604484 = 223217225392
BaseRepresentation
bin111110011101101010…
…001111001010000100
320102010012021220221100
4332131222033022010
52044324304320414
650451130220100
74563022142331
oct763552171204
9212105256840
1067069604484
11264980525a3
1210bb9584630
13642b2c38cc
14336376b988
151b2821a609
hexf9da8f284

67069604484 has 81 divisors (see below), whose sum is σ = 180167417157. Its totient is φ = 21033157248.

The previous prime is 67069604479. The next prime is 67069604489. The reversal of 67069604484 is 48440696076.

The square root of 67069604484 is 258978.

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

67069604484 is a `hidden beast` number, since 6 + 70 + 6 + 96 + 0 + 4 + 484 = 666.

It is an interprime number because it is at equal distance from previous prime (67069604479) and next prime (67069604489).

It can be written as a sum of positive squares in only one way, i.e., 52216820100 + 14852784384 = 228510^2 + 121872^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 67069604484.

It is not an unprimeable number, because it can be changed into a prime (67069604489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 26414487 + ... + 26417025.

Almost surely, 267069604484 is an apocalyptic number.

67069604484 is the 258978-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67069604484

67069604484 is an abundant number, since it is smaller than the sum of its proper divisors (113097812673).

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

67069604484 is a wasteful number, since it uses less digits than its factorization.

67069604484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5122 (or 2561 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 67069604484 in words is "sixty-seven billion, sixty-nine million, six hundred four thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 289 306 578 612 867 1156 1734 2539 2601 3468 5078 5202 7617 10156 10404 15234 22851 30468 43163 45702 86326 91404 129489 172652 258978 388467 517956 733771 776934 1467542 1553868 2201313 2935084 4402626 6446521 6603939 8805252 12893042 13207878 19339563 25786084 26415756 38679126 58018689 77358252 109590857 116037378 219181714 232074756 328772571 438363428 657545142 986317713 1315090284 1863044569 1972635426 3726089138 3945270852 5589133707 7452178276 11178267414 16767401121 22356534828 33534802242 67069604484