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10416000666330 = 2325722981444997
BaseRepresentation
bin1001011110010010101000…
…0001010000101011011010
31100212202111222212200122200
42113210222001100223122
52331123432132310310
634053013351031030
72123350130562300
oct227445201205332
940782458780580
1010416000666330
1133564459168a6
12120283566b476
135a72bc72415c
142801cc398270
15130e264149c0
hex9792a050ada

10416000666330 has 144 divisors (see below), whose sum is σ = 32589401499720. Its totient is φ = 2298703567104.

The previous prime is 10416000666293. The next prime is 10416000666361. The reversal of 10416000666330 is 3366600061401.

It can be written as a sum of positive squares in 4 ways, for example, as 6279369421689 + 4136631244641 = 2505867^2 + 2033871^2 .

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 40594609 + ... + 40850388.

Almost surely, 210416000666330 is an apocalyptic number.

10416000666330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10416000666330 is an abundant number, since it is smaller than the sum of its proper divisors (22173400833390).

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

10416000666330 is a wasteful number, since it uses less digits than its factorization.

10416000666330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81445053 (or 81445043 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 10416000666330 in words is "ten trillion, four hundred sixteen billion, six hundred sixty-six thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 29 30 35 42 45 49 58 63 70 87 90 98 105 126 145 147 174 203 210 245 261 290 294 315 406 435 441 490 522 609 630 735 870 882 1015 1218 1305 1421 1470 1827 2030 2205 2610 2842 3045 3654 4263 4410 6090 7105 8526 9135 12789 14210 18270 21315 25578 42630 63945 127890 81444997 162889994 244334991 407224985 488669982 570114979 733004973 814449970 1140229958 1221674955 1466009946 1710344937 2361904913 2443349910 2850574895 3420689874 3665024865 3990804853 4723809826 5131034811 5701149790 7085714739 7330049730 7981609706 8551724685 10262069622 11809524565 11972414559 14171429478 16533334391 17103449370 19954024265 21257144217 23619049130 23944829118 25655174055 33066668782 35428573695 35917243677 39908048530 42514288434 49600003173 51310348110 59862072795 70857147390 71834487354 82666671955 99200006346 106285721085 115733340737 119724145590 148800009519 165333343910 179586218385 212571442170 231466681474 248000015865 297600019038 347200022211 359172436770 496000031730 578666703685 694400044422 744000047595 1041600066633 1157333407370 1488000095190 1736000111055 2083200133266 3472000222110 5208000333165 10416000666330