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289506680000 = 265450314389
BaseRepresentation
bin1000011011001111111…
…00010101110011000000
31000200021012220010210122
410031213330111303000
514220402202230000
6340555244515412
726626150114556
oct4154774256300
91020235803718
10289506680000
11101862a7870a
124813724bb68
13213b9b87a15
1410025685bd6
1577e6357085
hex4367f15cc0

289506680000 has 140 divisors (see below), whose sum is σ = 719359668720. Its totient is φ = 115564416000.

The previous prime is 289506679999. The next prime is 289506680039. The reversal of 289506680000 is 86605982.

It is a happy 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 19 ways as a sum of consecutive naturals, for example, 20112806 + ... + 20127194.

It is an arithmetic number, because the mean of its divisors is an integer number (5138283348).

Almost surely, 2289506680000 is an apocalyptic number.

289506680000 is a gapful number since it is divisible by the number (20) 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 289506680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359679834360).

289506680000 is an abundant number, since it is smaller than the sum of its proper divisors (429852988720).

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

289506680000 is an equidigital number, since it uses as much as digits as its factorization.

289506680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14924 (or 14899 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 44.

The spelling of 289506680000 in words is "two hundred eighty-nine billion, five hundred six million, six hundred eighty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 503 625 800 1000 1006 1250 1600 2000 2012 2500 2515 4000 4024 5000 5030 8000 8048 10000 10060 12575 14389 16096 20000 20120 25150 28778 32192 40000 40240 50300 57556 62875 71945 80480 100600 115112 125750 143890 160960 201200 230224 251500 287780 314375 359725 402400 460448 503000 575560 628750 719450 804800 920896 1006000 1151120 1257500 1438900 1798625 2012000 2302240 2515000 2877800 3597250 4024000 4604480 5030000 5755600 7194500 7237667 8993125 10060000 11511200 14389000 14475334 17986250 20120000 23022400 28778000 28950668 35972500 36188335 57556000 57901336 71945000 72376670 115112000 115802672 143890000 144753340 180941675 231605344 287780000 289506680 361883350 463210688 575560000 579013360 723766700 904708375 1158026720 1447533400 1809416750 2316053440 2895066800 3618833500 4523541875 5790133600 7237667000 9047083750 11580267200 14475334000 18094167500 28950668000 36188335000 57901336000 72376670000 144753340000 289506680000