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66967886336 = 2913231512897
BaseRepresentation
bin111110010111100110…
…001101101000000000
320101212002220002212112
4332113212031220000
52044122234330321
650433054114452
74560345433061
oct762746155000
9211762802775
1066967886336
112644569820a
1210b8b4aba28
1364131cb060
143354050568
151b1e326a5b
hexf9798da00

66967886336 has 160 divisors (see below), whose sum is σ = 151410809088. Its totient is φ = 29358489600.

The previous prime is 66967886333. The next prime is 66967886341. The reversal of 66967886336 is 63368876966.

It is a super-2 number, since 2×669678863362 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (66967886333) 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 15 ways as a sum of consecutive naturals, for example, 23114840 + ... + 23117736.

Almost surely, 266967886336 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 66967886336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75705404544).

66967886336 is an abundant number, since it is smaller than the sum of its proper divisors (84442922752).

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

66967886336 is a wasteful number, since it uses less digits than its factorization.

66967886336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3102 (or 3086 counting only the distinct ones).

The product of its digits is 282175488, while the sum is 68.

The spelling of 66967886336 in words is "sixty-six billion, nine hundred sixty-seven million, eight hundred eighty-six thousand, three hundred thirty-six".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 64 92 104 128 151 184 208 256 299 302 368 416 512 598 604 736 832 1196 1208 1472 1664 1963 2392 2416 2897 2944 3328 3473 3926 4784 4832 5794 5888 6656 6946 7852 9568 9664 11588 11776 13892 15704 19136 19328 23176 27784 31408 37661 38272 38656 45149 46352 55568 62816 66631 75322 76544 77312 90298 92704 111136 125632 133262 150644 153088 180596 185408 222272 251264 266524 301288 361192 370816 437447 444544 502528 533048 602576 722384 741632 866203 874894 889088 1005056 1066096 1205152 1444768 1483264 1732406 1749788 1778176 2132192 2410304 2889536 3464812 3499576 4264384 4820608 5686811 5779072 6929624 6999152 8528768 9641216 10061281 11373622 11558144 13859248 13998304 17057536 19282432 20122562 22747244 23116288 27718496 27996608 34115072 40245124 45494488 55436992 55993216 80490248 90988976 110873984 111986432 130796653 160980496 181977952 221747968 223972864 261593306 321960992 363955904 443495936 523186612 643921984 727911808 1046373224 1287843968 1455823616 2092746448 2575687936 2911647232 4185492896 5151375872 8370985792 16741971584 33483943168 66967886336