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66346441000 = 2353721354009
BaseRepresentation
bin111101110010100011…
…100101100100101000
320100020210112102010121
4331302203211210220
52041334142103000
650251254253024
74536061305100
oct756243454450
9210223472117
1066346441000
1126156922124
1210a37357174
136344534218
1432d56c4200
151ad49beb1a
hexf728e5928

66346441000 has 96 divisors (see below), whose sum is σ = 180597853800. Its totient is φ = 22747334400.

The previous prime is 66346440977. The next prime is 66346441067. The reversal of 66346441000 is 14464366.

66346441000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 11205069316 + 55141371684 = 105854^2 + 234822^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 628005 + ... + 726004.

Almost surely, 266346441000 is an apocalyptic number.

It is an amenable number.

66346441000 is an abundant number, since it is smaller than the sum of its proper divisors (114251412800).

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

66346441000 is a wasteful number, since it uses less digits than its factorization.

66346441000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1354044 (or 1354023 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 34.

The spelling of 66346441000 in words is "sixty-six billion, three hundred forty-six million, four hundred forty-one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 125 140 175 196 200 245 250 280 350 392 490 500 700 875 980 1000 1225 1400 1750 1960 2450 3500 4900 6125 7000 9800 12250 24500 49000 1354009 2708018 5416036 6770045 9478063 10832072 13540090 18956126 27080180 33850225 37912252 47390315 54160360 66346441 67700450 75824504 94780630 132692882 135400900 169251125 189561260 236951575 265385764 270801800 331732205 338502250 379122520 473903150 530771528 663464410 677004500 947806300 1184757875 1326928820 1354009000 1658661025 1895612600 2369515750 2653857640 3317322050 4739031500 6634644100 8293305125 9478063000 13269288200 16586610250 33173220500 66346441000