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9966076080 = 24351912717209
BaseRepresentation
bin10010100100000011…
…00100000010110000
3221201112221010020220
421102001210002300
5130402303413310
64324531333040
7501653151252
oct112201440260
927645833226
109966076080
114254654514
121b21751180
13c2a97044c
146a7851cd2
153d4e0b670
hex2520640b0

9966076080 has 160 divisors (see below), whose sum is σ = 32778854400. Its totient is φ = 2497775616.

The previous prime is 9966076079. The next prime is 9966076091. The reversal of 9966076080 is 806706699.

It is a happy 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, 570516 + ... + 587724.

It is an arithmetic number, because the mean of its divisors is an integer number (204867840).

Almost surely, 29966076080 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 9966076080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16389427200).

9966076080 is an abundant number, since it is smaller than the sum of its proper divisors (22812778320).

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

9966076080 is a wasteful number, since it uses less digits than its factorization.

9966076080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17371 (or 17365 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 51.

The square root of 9966076080 is about 99830.2363014332. The cubic root of 9966076080 is about 2151.9957009445.

The spelling of 9966076080 in words is "nine billion, nine hundred sixty-six million, seventy-six thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 127 152 190 228 240 254 285 304 380 381 456 508 570 635 760 762 912 1016 1140 1270 1520 1524 1905 2032 2280 2413 2540 3048 3810 4560 4826 5080 6096 7239 7620 9652 10160 12065 14478 15240 17209 19304 24130 28956 30480 34418 36195 38608 48260 51627 57912 68836 72390 86045 96520 103254 115824 137672 144780 172090 193040 206508 258135 275344 289560 326971 344180 413016 516270 579120 653942 688360 826032 980913 1032540 1307884 1376720 1634855 1961826 2065080 2185543 2615768 3269710 3923652 4130160 4371086 4904565 5231536 6539420 6556629 7847304 8742172 9809130 10927715 13078840 13113258 15694608 17484344 19618260 21855430 26157680 26226516 32783145 34968688 39236520 41525317 43710860 52453032 65566290 78473040 83050634 87421720 104906064 124575951 131132580 166101268 174843440 207626585 249151902 262265160 332202536 415253170 498303804 524530320 622879755 664405072 830506340 996607608 1245759510 1661012680 1993215216 2491519020 3322025360 4983038040 9966076080