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66427817016 = 233111727154617
BaseRepresentation
bin111101110111011010…
…000000110000111000
320100110110122202001010
4331313122000300320
52042021010121031
650303322353520
74541100062001
oct756732006070
9210413582033
1066427817016
1126198853130
1210a5a65b8a0
136358356a02
1433024281a8
151adbbe6246
hexf77680c38

66427817016 has 128 divisors (see below), whose sum is σ = 192535004160. Its totient is φ = 18875289600.

The previous prime is 66427816993. The next prime is 66427817083. The reversal of 66427817016 is 61071872466.

66427817016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×664278170162 (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1188940 + ... + 1243556.

It is an arithmetic number, because the mean of its divisors is an integer number (1504179720).

Almost surely, 266427817016 is an apocalyptic number.

66427817016 is a gapful number since it is divisible by the number (66) 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 66427817016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96267502080).

66427817016 is an abundant number, since it is smaller than the sum of its proper divisors (126107187144).

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

66427817016 is a wasteful number, since it uses less digits than its factorization.

66427817016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54925 (or 54921 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The spelling of 66427817016 in words is "sixty-six billion, four hundred twenty-seven million, eight hundred seventeen thousand, sixteen".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 88 102 132 136 187 204 264 271 374 408 542 561 748 813 1084 1122 1496 1626 2168 2244 2981 3252 4488 4607 5962 6504 8943 9214 11924 13821 17886 18428 23848 27642 35772 36856 50677 54617 55284 71544 101354 109234 110568 152031 163851 202708 218468 304062 327702 405416 436936 600787 608124 655404 928489 1201574 1216248 1310808 1802361 1856978 2403148 2785467 3604722 3713956 4806296 5570934 7209444 7427912 10213379 11141868 14418888 14801207 20426758 22283736 29602414 30640137 40853516 44403621 59204828 61280274 81707032 88807242 118409656 122560548 162813277 177614484 245121096 251620519 325626554 355228968 488439831 503241038 651253108 754861557 976879662 1006482076 1302506216 1509723114 1953759324 2012964152 2767825709 3019446228 3907518648 5535651418 6038892456 8303477127 11071302836 16606954254 22142605672 33213908508 66427817016