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66000417072 = 24331372275281
BaseRepresentation
bin111101011101111011…
…100111000100110000
320022100200102120112120
4331131323213010300
52040132101321242
650153053554240
74524360201012
oct753573470460
9208320376476
1066000417072
1125a99573237
121095b4a5980
1362ba940a35
1432a17701b2
151ab441e1ec
hexf5dee7130

66000417072 has 160 divisors (see below), whose sum is σ = 181588568064. Its totient is φ = 20619878400.

The previous prime is 66000417061. The next prime is 66000417121. The reversal of 66000417072 is 27071400066.

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, 12495072 + ... + 12500352.

Almost surely, 266000417072 is an apocalyptic number.

66000417072 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 66000417072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90794284032).

66000417072 is an abundant number, since it is smaller than the sum of its proper divisors (115588150992).

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

66000417072 is a wasteful number, since it uses less digits than its factorization.

66000417072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5587 (or 5581 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The spelling of 66000417072 in words is "sixty-six billion, four hundred seventeen thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 37 48 62 74 93 111 124 148 186 222 227 248 296 372 444 454 496 592 681 744 888 908 1147 1362 1488 1776 1816 2294 2724 3441 3632 4588 5281 5448 6882 7037 8399 9176 10562 10896 13764 14074 15843 16798 18352 21111 21124 25197 27528 28148 31686 33596 42222 42248 50394 55056 56296 63372 67192 84444 84496 100788 112592 126744 134384 163711 168888 195397 201576 253488 260369 327422 337776 390794 403152 491133 520738 586191 654844 781107 781588 982266 1041476 1172382 1198787 1309688 1562214 1563176 1964532 2082952 2344764 2397574 2619376 3124428 3126352 3596361 3929064 4165904 4689528 4795148 6057307 6248856 7192722 7858128 9379056 9590296 12114614 12497712 14385444 18171921 19180592 24229228 28770888 36343842 37162397 44355119 48458456 57541776 72687684 74324794 88710238 96916912 111487191 133065357 145375368 148649588 177420476 222974382 266130714 290750736 297299176 354840952 445948764 532261428 594598352 709681904 891897528 1064522856 1375008689 1783795056 2129045712 2750017378 4125026067 5500034756 8250052134 11000069512 16500104268 22000139024 33000208536 66000417072