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189543219200 = 2195214461
BaseRepresentation
bin1011000010000110101…
…0000000000000000000
3200010020121000011220122
42300201222000000000
511101141031003300
6223024104555412
716460025531416
oct2604152000000
9603217004818
10189543219200
1173426229aa5
1230899782b68
1314b48acc80a
1492614172b6
154de5438c85
hex2c21a80000

189543219200 has 120 divisors (see below), whose sum is σ = 470099241150. Its totient is φ = 75812044800.

The previous prime is 189543219199. The next prime is 189543219223. The reversal of 189543219200 is 2912345981.

It can be written as a sum of positive squares in 3 ways, for example, as 89099862016 + 100443357184 = 298496^2 + 316928^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13099970 + ... + 13114430.

Almost surely, 2189543219200 is an apocalyptic number.

189543219200 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 189543219200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235049620575).

189543219200 is an abundant number, since it is smaller than the sum of its proper divisors (280556021950).

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

189543219200 is an frugal number, since it uses more digits than its factorization.

189543219200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14509 (or 14468 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 44.

The spelling of 189543219200 in words is "one hundred eighty-nine billion, five hundred forty-three million, two hundred nineteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 512 640 800 1024 1280 1600 2048 2560 3200 4096 5120 6400 8192 10240 12800 14461 16384 20480 25600 28922 32768 40960 51200 57844 65536 72305 81920 102400 115688 131072 144610 163840 204800 231376 262144 289220 327680 361525 409600 462752 524288 578440 655360 723050 819200 925504 1156880 1310720 1446100 1638400 1851008 2313760 2621440 2892200 3276800 3702016 4627520 5784400 6553600 7404032 9255040 11568800 13107200 14808064 18510080 23137600 29616128 37020160 46275200 59232256 74040320 92550400 118464512 148080640 185100800 236929024 296161280 370201600 473858048 592322560 740403200 947716096 1184645120 1480806400 1895432192 2369290240 2961612800 3790864384 4738580480 5923225600 7581728768 9477160960 11846451200 18954321920 23692902400 37908643840 47385804800 94771609600 189543219200