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189159406080 = 293573933329
BaseRepresentation
bin1011000000101011000…
…1110111101000000000
3200002020211210110021220
42300022301313220000
511044344301443310
6222522034315040
716444355264631
oct2601261675000
9602224713256
10189159406080
117324960a577
12307b1128a80
1314ab7437b68
149226467888
154dc18c1670
hex2c0ac77a00

189159406080 has 160 divisors (see below), whose sum is σ = 605555438400. Its totient is φ = 50372739072.

The previous prime is 189159406067. The next prime is 189159406081. The reversal of 189159406080 is 80604951981.

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (189159406081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5658856 + ... + 5692184.

It is an arithmetic number, because the mean of its divisors is an integer number (3784721490).

Almost surely, 2189159406080 is an apocalyptic number.

189159406080 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 189159406080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302777719200).

189159406080 is an abundant number, since it is smaller than the sum of its proper divisors (416396032320).

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

189159406080 is an equidigital number, since it uses as much as digits as its factorization.

189159406080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34094 (or 34078 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 51.

The spelling of 189159406080 in words is "one hundred eighty-nine billion, one hundred fifty-nine million, four hundred six thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 739 768 960 1280 1478 1536 1920 2217 2560 2956 3695 3840 4434 5912 7390 7680 8868 11085 11824 14780 17736 22170 23648 29560 33329 35472 44340 47296 59120 66658 70944 88680 94592 99987 118240 133316 141888 166645 177360 189184 199974 236480 266632 283776 333290 354720 378368 399948 472960 499935 533264 567552 666580 709440 799896 945920 999870 1066528 1135104 1333160 1418880 1599792 1891840 1999740 2133056 2666320 2837760 3199584 3999480 4266112 5332640 5675520 6399168 7998960 8532224 10665280 12798336 15997920 17064448 21330560 24630131 25596672 31995840 42661120 49260262 51193344 63991680 73890393 85322240 98520524 123150655 127983360 147780786 197041048 246301310 255966720 295561572 369451965 394082096 492602620 591123144 738903930 788164192 985205240 1182246288 1477807860 1576328384 1970410480 2364492576 2955615720 3152656768 3940820960 4728985152 5911231440 6305313536 7881641920 9457970304 11822462880 12610627072 15763283840 18915940608 23644925760 31526567680 37831881216 47289851520 63053135360 94579703040 189159406080