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3326666850 = 23252132919609
BaseRepresentation
bin1100011001001000…
…1110100001100010
322120211201012000100
43012102032201202
523303111314400
61310034003230
7145303126113
oct30622164142
98524635010
103326666850
1114578a9051
1278a116516
1341028b130
14237b5c20a
151470be100
hexc648e862

3326666850 has 144 divisors (see below), whose sum is σ = 9957565800. Its totient is φ = 790594560.

The previous prime is 3326666839. The next prime is 3326666857. The reversal of 3326666850 is 586666233.

It can be written as a sum of positive squares in 12 ways, for example, as 600887169 + 2725779681 = 24513^2 + 52209^2 .

It is a super-2 number, since 2×33266668502 = 22133424661777845000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 3326666796 and 3326666805.

It is not an unprimeable number, because it can be changed into a prime (3326666857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 159846 + ... + 179454.

Almost surely, 23326666850 is an apocalyptic number.

3326666850 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3326666850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4978782900).

3326666850 is an abundant number, since it is smaller than the sum of its proper divisors (6630898950).

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

3326666850 is a wasteful number, since it uses less digits than its factorization.

3326666850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19669 (or 19661 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The square root of 3326666850 is about 57677.2645849298. The cubic root of 3326666850 is about 1492.8050772367.

The spelling of 3326666850 in words is "three billion, three hundred twenty-six million, six hundred sixty-six thousand, eight hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 29 30 39 45 50 58 65 75 78 87 90 117 130 145 150 174 195 225 234 261 290 325 377 390 435 450 522 585 650 725 754 870 975 1131 1170 1305 1450 1885 1950 2175 2262 2610 2925 3393 3770 4350 5655 5850 6525 6786 9425 11310 13050 16965 18850 19609 28275 33930 39218 56550 58827 84825 98045 117654 169650 176481 196090 254917 294135 352962 490225 509834 568661 588270 764751 882405 980450 1137322 1274585 1470675 1529502 1705983 1764810 2294253 2549170 2843305 2941350 3411966 3823755 4412025 4588506 5117949 5686610 6372925 7392593 7647510 8529915 8824050 10235898 11471265 12745850 14216525 14785186 17059830 19118775 22177779 22942530 25589745 28433050 36962965 38237550 42649575 44355558 51179490 57356325 66533337 73925930 85299150 110888895 114712650 127948725 133066674 184814825 221777790 255897450 332666685 369629650 554444475 665333370 1108888950 1663333425 3326666850