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146066005260 = 223257143380897
BaseRepresentation
bin1000100000001000110…
…1100101110100001100
3111222000120221212121200
42020002031211310030
54343120344132020
6151033553225500
713360436362560
oct2100215456414
9458016855550
10146066005260
1156a454a772a
1224385262290
1310a0a52b216
1470d90dd6a0
153bed546590
hex2202365d0c

146066005260 has 144 divisors (see below), whose sum is σ = 506721773376. Its totient is φ = 33362804736.

The previous prime is 146066005247. The next prime is 146066005279. The reversal of 146066005260 is 62500660641.

It is a happy number.

146066005260 is a `hidden beast` number, since 1 + 46 + 0 + 6 + 600 + 5 + 2 + 6 + 0 = 666.

It is a super-2 number, since 2×1460660052602 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1765132 + ... + 1846028.

It is an arithmetic number, because the mean of its divisors is an integer number (3518901204).

Almost surely, 2146066005260 is an apocalyptic number.

146066005260 is a gapful number since it is divisible by the number (10) 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 146066005260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253360886688).

146066005260 is an abundant number, since it is smaller than the sum of its proper divisors (360655768116).

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

146066005260 is a wasteful number, since it uses less digits than its factorization.

146066005260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82352 (or 82347 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 146066005260 in words is "one hundred forty-six billion, sixty-six million, five thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 1433 2866 4299 5732 7165 8598 10031 12897 14330 17196 20062 21495 25794 28660 30093 40124 42990 50155 51588 60186 64485 80897 85980 90279 100310 120372 128970 150465 161794 180558 200620 242691 257940 300930 323588 361116 404485 451395 485382 566279 601860 728073 808970 902790 970764 1132558 1213455 1456146 1617940 1698837 1805580 2265116 2426910 2831395 2912292 3397674 3640365 4853820 5096511 5662790 6795348 7280730 8494185 10193022 11325580 14561460 16988370 20386044 25482555 33976740 50965110 101930220 115925401 231850802 347776203 463701604 579627005 695552406 811477807 1043328609 1159254010 1391104812 1622955614 1738881015 2086657218 2318508020 2434433421 3245911228 3477762030 4057389035 4173314436 4868866842 5216643045 6955524060 7303300263 8114778070 9737733684 10433286090 12172167105 14606600526 16229556140 20866572180 24344334210 29213201052 36516501315 48688668420 73033002630 146066005260