Search a number
-
+
180018000198000 = 24325310001000011
BaseRepresentation
bin101000111011100110110100…
…111101000111100101110000
3212121101112220221201100112200
4220323212310331013211300
5142043403331022314000
61434511043322023200
752626604601401146
oct5073466475074560
9777345827640480
10180018000198000
11523a5229063508
1218234840047b00
13795a8172778a3
143264cbc245596
1515c2a34600500
hexa3b9b4f47970

180018000198000 has 120 divisors (see below), whose sum is σ = 628742868754416. Its totient is φ = 48004800048000.

The previous prime is 180018000197999. The next prime is 180018000198007. The reversal of 180018000198000 is 891000810081.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180018000198007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5000482006 + ... + 5000518005.

Almost surely, 2180018000198000 is an apocalyptic number.

180018000198000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

180018000198000 is an abundant number, since it is smaller than the sum of its proper divisors (448724868556416).

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

180018000198000 is a wasteful number, since it uses less digits than its factorization.

180018000198000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10001000040 (or 10001000021 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 36.

The spelling of 180018000198000 in words is "one hundred eighty trillion, eighteen billion, one hundred ninety-eight thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 720 750 900 1000 1125 1200 1500 1800 2000 2250 3000 3600 4500 6000 9000 18000 10001000011 20002000022 30003000033 40004000044 50005000055 60006000066 80008000088 90009000099 100010000110 120012000132 150015000165 160016000176 180018000198 200020000220 240024000264 250025000275 300030000330 360036000396 400040000440 450045000495 480048000528 500050000550 600060000660 720072000792 750075000825 800080000880 900090000990 1000100001100 1200120001320 1250125001375 1440144001584 1500150001650 1800180001980 2000200002200 2250225002475 2400240002640 2500250002750 3000300003300 3600360003960 3750375004125 4000400004400 4500450004950 5000500005500 6000600006600 7200720007920 7500750008250 9000900009900 10001000011000 11251125012375 12001200013200 15001500016500 18001800019800 20002000022000 22502250024750 30003000033000 36003600039600 45004500049500 60006000066000 90009000099000 180018000198000