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66794040721032 = 233312831823174017
BaseRepresentation
bin11110010111111101100110…
…00100011111111010001000
322202111110002112122001221020
433023332303010133322020
532223323143411033112
6354020431513512440
720032465411263522
oct1713766304377210
9282443075561836
1066794040721032
111a312214740809
1275a9171112720
132b36860378981
14126cbc523ca12
157ac6eda8a48c
hex3cbfb311fe88

66794040721032 has 128 divisors (see below), whose sum is σ = 173076687912960. Its totient is φ = 21458428047360.

The previous prime is 66794040720991. The next prime is 66794040721039. The reversal of 66794040721032 is 23012704049766.

It is a happy number.

It is a super-2 number, since 2×667940407210322 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (66794040721039) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 383749288 + ... + 383923304.

It is an arithmetic number, because the mean of its divisors is an integer number (1352161624320).

Almost surely, 266794040721032 is an apocalyptic number.

66794040721032 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66794040721032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86538343956480).

66794040721032 is an abundant number, since it is smaller than the sum of its proper divisors (106282647191928).

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

66794040721032 is a wasteful number, since it uses less digits than its factorization.

66794040721032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176163 (or 176159 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 51.

The spelling of 66794040721032 in words is "sixty-six trillion, seven hundred ninety-four billion, forty million, seven hundred twenty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 283 372 566 744 849 1132 1698 1823 2264 3396 3646 5469 6792 7292 8773 10938 14584 17546 21876 26319 35092 43752 52638 56513 70184 105276 113026 169539 174017 210552 226052 339078 348034 452104 515909 522051 678156 696068 1031818 1044102 1356312 1392136 1547727 2063636 2088204 3095454 4127272 4176408 5394527 6190908 10789054 12381816 15993179 16183581 21578108 31986358 32367162 43156216 47979537 49246811 63972716 64734324 95959074 98493622 127945432 129468648 147740433 191918148 196987244 295480866 317232991 383836296 393974488 590961732 634465982 951698973 1181923464 1268931964 1526651141 1903397946 2537863928 3053302282 3806795892 4579953423 6106604564 7613591784 9159906846 9834222721 12213209128 18319813692 19668445442 29502668163 36639627384 39336890884 59005336326 78673781768 89776936453 118010672652 179553872906 236021345304 269330809359 359107745812 538661618718 718215491624 1077323237436 2154646474872 2783085030043 5566170060086 8349255090129 11132340120172 16698510180258 22264680240344 33397020360516 66794040721032