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14845666000 = 2453111913533
BaseRepresentation
bin11011101001101111…
…01110001011010000
31102022121201222020111
431310313232023100
5220400442303000
610453042051104
71033614036034
oct156467561320
942277658214
1014845666000
116328a9a660
122a63949a94
131527890569
14a0b92c1c4
155bd4cacba
hex374dee2d0

14845666000 has 160 divisors (see below), whose sum is σ = 39376336896. Its totient is φ = 5368640000.

The previous prime is 14845665971. The next prime is 14845666013. The reversal of 14845666000 is 66654841.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent 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 31 ways as a sum of consecutive naturals, for example, 4200234 + ... + 4203766.

Almost surely, 214845666000 is an apocalyptic number.

14845666000 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 14845666000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19688168448).

14845666000 is an abundant number, since it is smaller than the sum of its proper divisors (24530670896).

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

14845666000 is a wasteful number, since it uses less digits than its factorization.

14845666000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3758 (or 3742 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The spelling of 14845666000 in words is "fourteen billion, eight hundred forty-five million, six hundred sixty-six thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 191 200 220 250 275 382 400 440 500 550 764 880 955 1000 1100 1375 1528 1910 2000 2101 2200 2750 3056 3533 3820 4202 4400 4775 5500 7066 7640 8404 9550 10505 11000 14132 15280 16808 17665 19100 21010 22000 23875 28264 33616 35330 38200 38863 42020 47750 52525 56528 70660 76400 77726 84040 88325 95500 105050 141320 155452 168080 176650 191000 194315 210100 262625 282640 310904 353300 382000 388630 420200 441625 525250 621808 674803 706600 777260 840400 883250 971575 1050500 1349606 1413200 1554520 1766500 1943150 2101000 2699212 3109040 3374015 3533000 3886300 4202000 4857875 5398424 6748030 7066000 7422833 7772600 9715750 10796848 13496060 14845666 15545200 16870075 19431500 26992120 29691332 33740150 37114165 38863000 53984240 59382664 67480300 74228330 77726000 84350375 118765328 134960600 148456660 168700750 185570825 269921200 296913320 337401500 371141650 593826640 674803000 742283300 927854125 1349606000 1484566600 1855708250 2969133200 3711416500 7422833000 14845666000