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212423459606720 = 2652334991957073
BaseRepresentation
bin110000010011001010110000…
…110110100001000011000000
31000212010111002010200000211122
4300103022300312201003000
5210320321221124403340
62031441553512331412
762513042232521105
oct6023126066410300
91025114063600748
10212423459606720
116175931309727a
121b9a910a9a3b68
13916b5a565a49b
143a654c9332aac
15198594d202db5
hexc132b0da10c0

212423459606720 has 112 divisors (see below), whose sum is σ = 508023399536640. Its totient is φ = 84601531170816.

The previous prime is 212423459606717. The next prime is 212423459606801. The reversal of 212423459606720 is 27606954324212.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3721932104 + ... + 3721989176.

Almost surely, 2212423459606720 is an apocalyptic number.

212423459606720 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 212423459606720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254011699768320).

212423459606720 is an abundant number, since it is smaller than the sum of its proper divisors (295599939929920).

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

212423459606720 is a wasteful number, since it uses less digits than its factorization.

212423459606720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107242 (or 107232 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 53.

The spelling of 212423459606720 in words is "two hundred twelve trillion, four hundred twenty-three billion, four hundred fifty-nine million, six hundred six thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 233 320 466 932 1165 1864 2330 3728 4660 7456 9320 14912 18640 37280 49919 57073 74560 99838 114146 199676 228292 249595 285365 399352 456584 499190 570730 798704 913168 998380 1141460 1597408 1826336 1996760 2282920 3194816 3652672 3993520 4565840 7987040 9131680 11631127 13298009 15974080 18263360 23262254 26596018 46524508 53192036 58155635 66490045 93049016 106384072 116311270 132980090 186098032 212768144 232622540 265960180 372196064 425536288 465245080 531920360 744392128 851072576 930490160 1063840720 1860980320 2127681440 2849027087 3721960640 4255362880 5698054174 11396108348 14245135435 22792216696 28490270870 45584433392 56980541740 91168866784 113961083480 182337733568 227922166960 455844333920 663823311271 911688667840 1327646622542 2655293245084 3319116556355 5310586490168 6638233112710 10621172980336 13276466225420 21242345960672 26552932450840 42484691921344 53105864901680 106211729803360 212423459606720