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66931629270 = 235111915767993
BaseRepresentation
bin111110010101011011…
…111001110011010110
320101202120200001112020
4332111123321303112
52044033444114040
650425321034010
74556425314252
oct762533716326
9211676601466
1066931629270
11264271837a0
1210b7b325906
13640884507c
14334d2d3262
151b1b063cd0
hexf956f9cd6

66931629270 has 128 divisors (see below), whose sum is σ = 185639938560. Its totient is φ = 15273722880.

The previous prime is 66931629241. The next prime is 66931629277. The reversal of 66931629270 is 7292613966.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66931629277) 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 63 ways as a sum of consecutive naturals, for example, 950394 + ... + 1018386.

It is an arithmetic number, because the mean of its divisors is an integer number (1450312020).

Almost surely, 266931629270 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66931629270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92819969280).

66931629270 is an abundant number, since it is smaller than the sum of its proper divisors (118708309290).

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

66931629270 is a wasteful number, since it uses less digits than its factorization.

66931629270 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68190.

The product of its (nonzero) digits is 1469664, while the sum is 51.

The spelling of 66931629270 in words is "sixty-six billion, nine hundred thirty-one million, six hundred twenty-nine thousand, two hundred seventy".

Divisors: 1 2 3 5 6 10 11 15 19 22 30 33 38 55 57 66 95 110 114 157 165 190 209 285 314 330 418 471 570 627 785 942 1045 1254 1570 1727 2090 2355 2983 3135 3454 4710 5181 5966 6270 8635 8949 10362 14915 17270 17898 25905 29830 32813 44745 51810 65626 67993 89490 98439 135986 164065 196878 203979 328130 339965 407958 492195 679930 747923 984390 1019895 1291867 1495846 2039790 2243769 2583734 3739615 3875601 4487538 6459335 7479230 7751202 10674901 11218845 12918670 14210537 19378005 21349802 22437690 28421074 32024703 38756010 42631611 53374505 64049406 71052685 85263222 106749010 117423911 142105370 160123515 202823119 213158055 234847822 320247030 352271733 405646238 426316110 587119555 608469357 704543466 1014115595 1174239110 1216938714 1761358665 2028231190 2231054309 3042346785 3522717330 4462108618 6084693570 6693162927 11155271545 13386325854 22310543090 33465814635 66931629270