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67975065216 = 273417385661
BaseRepresentation
bin111111010011101000…
…010010111010000000
320111110022002002120000
4333103220102322000
52103203104041331
651121033320000
74624325343462
oct772350227200
9214408062500
1067975065216
1126912174653
1211210866000
136543a7c9a6
14340bb0a132
151b7c9750e6
hexfd3a12e80

67975065216 has 160 divisors (see below), whose sum is σ = 214192818180. Its totient is φ = 21325455360.

The previous prime is 67975065211. The next prime is 67975065241. The reversal of 67975065216 is 61256057976.

67975065216 is a `hidden beast` number, since 6 + 79 + 7 + 506 + 52 + 16 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 54587649600 + 13387415616 = 233640^2 + 115704^2 .

It is a super-2 number, since 2×679750652162 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (67975065211) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 16575 + ... + 369086.

Almost surely, 267975065216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67975065216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107096409090).

67975065216 is an abundant number, since it is smaller than the sum of its proper divisors (146217752964).

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

67975065216 is a wasteful number, since it uses less digits than its factorization.

67975065216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385704 (or 385683 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The spelling of 67975065216 in words is "sixty-seven billion, nine hundred seventy-five million, sixty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 81 96 102 108 128 136 144 153 162 192 204 216 272 288 306 324 384 408 432 459 544 576 612 648 816 864 918 1088 1152 1224 1296 1377 1632 1728 1836 2176 2448 2592 2754 3264 3456 3672 4896 5184 5508 6528 7344 9792 10368 11016 14688 19584 22032 29376 44064 58752 88128 176256 385661 771322 1156983 1542644 2313966 3085288 3470949 4627932 6170576 6556237 6941898 9255864 10412847 12341152 13112474 13883796 18511728 19668711 20825694 24682304 26224948 27767592 31238541 37023456 39337422 41651388 49364608 52449896 55535184 59006133 62477082 74046912 78674844 83302776 104899792 111070368 118012266 124954164 148093824 157349688 166605552 177018399 209799584 222140736 236024532 249908328 314699376 333211104 354036798 419599168 444281472 472049064 499816656 531055197 629398752 666422208 708073596 839198336 944098128 999633312 1062110394 1258797504 1332844416 1416147192 1888196256 1999266624 2124220788 2517595008 2832294384 3776392512 3998533248 4248441576 5664588768 7552785024 8496883152 11329177536 16993766304 22658355072 33987532608 67975065216