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45385666000 = 245367577587
BaseRepresentation
bin101010010001001100…
…100100110111010000
311100011000010201100121
4222101030210313100
51220422212303000
632503324200024
73164461536643
oct522114446720
9140130121317
1045385666000
1118280030684
128967699014
134383aa428c
1422a7981a5a
1512a971eb1a
hexa91324dd0

45385666000 has 160 divisors (see below), whose sum is σ = 111763596672. Its totient is φ = 17821900800.

The previous prime is 45385665989. The next prime is 45385666009. The reversal of 45385666000 is 66658354.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45385666009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77317707 + ... + 77318293.

Almost surely, 245385666000 is an apocalyptic number.

45385666000 is a gapful number since it is divisible by the number (40) 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 45385666000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55881798336).

45385666000 is an abundant number, since it is smaller than the sum of its proper divisors (66377930672).

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

45385666000 is a wasteful number, since it uses less digits than its factorization.

45385666000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1254 (or 1238 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 43.

The spelling of 45385666000 in words is "forty-five billion, three hundred eighty-five million, six hundred sixty-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 67 80 100 125 134 200 250 268 335 400 500 536 577 587 670 1000 1072 1154 1174 1340 1675 2000 2308 2348 2680 2885 2935 3350 4616 4696 5360 5770 5870 6700 8375 9232 9392 11540 11740 13400 14425 14675 16750 23080 23480 26800 28850 29350 33500 38659 39329 46160 46960 57700 58700 67000 72125 73375 77318 78658 115400 117400 134000 144250 146750 154636 157316 193295 196645 230800 234800 288500 293500 309272 314632 338699 386590 393290 577000 587000 618544 629264 677398 773180 786580 966475 983225 1154000 1174000 1354796 1546360 1573160 1693495 1932950 1966450 2709592 3092720 3146320 3386990 3865900 3932900 4832375 4916125 5419184 6773980 7731800 7865800 8467475 9664750 9832250 13547960 15463600 15731600 16934950 19329500 19664500 22692833 27095920 33869900 38659000 39329000 42337375 45385666 67739800 77318000 78658000 84674750 90771332 113464165 135479600 169349500 181542664 226928330 338699000 363085328 453856660 567320825 677398000 907713320 1134641650 1815426640 2269283300 2836604125 4538566600 5673208250 9077133200 11346416500 22692833000 45385666000