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67225700070 = 232531139173347
BaseRepresentation
bin111110100110111101…
…101100011011100110
320102112002000101211100
4332212331230123212
52100134234400240
650514424020530
74566626010444
oct764675543346
9212462011740
1067225700070
1126568178511
1211041901746
136454748169
14337a3a1b94
151b36ca0e30
hexfa6f6c6e6

67225700070 has 96 divisors (see below), whose sum is σ = 181724175360. Its totient is φ = 17223658560.

The previous prime is 67225700051. The next prime is 67225700071. The reversal of 67225700070 is 7000752276.

67225700070 is a `hidden beast` number, since 67 + 22 + 570 + 0 + 0 + 7 + 0 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 67225699998 and 67225700034.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67225700071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 301137 + ... + 474483.

It is an arithmetic number, because the mean of its divisors is an integer number (1892960160).

Almost surely, 267225700070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67225700070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90862087680).

67225700070 is an abundant number, since it is smaller than the sum of its proper divisors (114498475290).

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

67225700070 is a wasteful number, since it uses less digits than its factorization.

67225700070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173530 (or 173527 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The spelling of 67225700070 in words is "sixty-seven billion, two hundred twenty-five million, seven hundred thousand, seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 139 155 186 278 279 310 417 465 558 695 834 930 1251 1390 1395 2085 2502 2790 4170 4309 6255 8618 12510 12927 21545 25854 38781 43090 64635 77562 129270 173347 193905 346694 387810 520041 866735 1040082 1560123 1733470 2600205 3120246 5200410 5373757 7800615 10747514 15601230 16121271 24095233 26868785 32242542 48190466 48363813 53737570 72285699 80606355 96727626 120476165 144571398 161212710 216857097 240952330 241819065 361428495 433714194 483638130 722856990 746952223 1084285485 1493904446 2168570970 2240856669 3734761115 4481713338 6722570007 7469522230 11204283345 13445140014 22408566690 33612850035 67225700070