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243886691064384 = 26342169012
BaseRepresentation
bin110111011101000001001011…
…100101100001101001000000
31011222112100011211111110010000
4313131001023211201221000
5223431314420403030014
62222411555452040000
7102241142363334414
oct6735011345415100
91158470154443100
10243886691064384
1170789845aa1645
122342aa5b463000
13a6115547648b4
1444322709d4d44
151d2e0bc403509
hexddd04b961a40

243886691064384 has 105 divisors (see below), whose sum is σ = 722959888223001. Its totient is φ = 81295188883200.

The previous prime is 243886691064293. The next prime is 243886691064389. The reversal of 243886691064384 is 483460196688342.

The square root of 243886691064384 is 15616872.

It is a perfect power (a square), and thus also a powerful number.

243886691064384 is a `hidden beast` number, since 2 + 4 + 3 + 8 + 86 + 6 + 9 + 106 + 438 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 240855749342784 + 3030941721600 = 15519528^2 + 1740960^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (243886691064389) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1124306334 + ... + 1124523234.

Almost surely, 2243886691064384 is an apocalyptic number.

243886691064384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

243886691064384 is the 15616872-nd square number.

It is an amenable number.

243886691064384 is an abundant number, since it is smaller than the sum of its proper divisors (479073197158617).

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

243886691064384 is an frugal number, since it uses more digits than its factorization.

243886691064384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433826 (or 216906 counting only the distinct ones).

The product of its (nonzero) digits is 1146617856, while the sum is 72.

The spelling of 243886691064384 in words is "two hundred forty-three trillion, eight hundred eighty-six billion, six hundred ninety-one million, sixty-four thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 216901 433802 650703 867604 1301406 1735208 1952109 2602812 3470416 3904218 5205624 5856327 6940832 7808436 10411248 11712654 13881664 15616872 17568981 20822496 23425308 31233744 35137962 41644992 46850616 62467488 70275924 93701232 124934976 140551848 187402464 281103696 374804928 562207392 1124414784 47046043801 94092087602 141138131403 188184175204 282276262806 376368350408 423414394209 564552525612 752736700816 846828788418 1129105051224 1270243182627 1505473401632 1693657576836 2258210102448 2540486365254 3010946803264 3387315153672 3810729547881 4516420204896 5080972730508 6774630307344 7621459095762 9032840409792 10161945461016 13549260614688 15242918191524 20323890922032 27098521229376 30485836383048 40647781844064 60971672766096 81295563688128 121943345532192 243886691064384