Search a number
-
+
220963963534128 = 2434180419450523
BaseRepresentation
bin110010001111011100101110…
…100011011111101100110000
31001222100221121112112211220000
4302033130232203133230300
5212430233144131043003
62101541235443350000
764354056001232643
oct6217345643375460
91058327545484800
10220963963534128
1164451321995081
1220948368382300
13963aa73980559
143c7c9da29ba5a
151a82ba6b251a3
hexc8f72e8dfb30

220963963534128 has 100 divisors (see below), whose sum is σ = 639569333884008. Its totient is φ = 73650564092160.

The previous prime is 220963963534103. The next prime is 220963963534163. The reversal of 220963963534128 is 821435369369022.

It is a happy number.

220963963534128 is a `hidden beast` number, since 2 + 2 + 0 + 9 + 6 + 3 + 96 + 3 + 534 + 1 + 2 + 8 = 666.

It is a super-2 number, since 2×2209639635341282 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 18655875 + ... + 28106397.

Almost surely, 2220963963534128 is an apocalyptic number.

It is an amenable number.

220963963534128 is an abundant number, since it is smaller than the sum of its proper divisors (418605370349880).

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

220963963534128 is a wasteful number, since it uses less digits than its factorization.

220963963534128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9468584 (or 9468569 counting only the distinct ones).

The product of its (nonzero) digits is 100776960, while the sum is 63.

The spelling of 220963963534128 in words is "two hundred twenty trillion, nine hundred sixty-three billion, nine hundred sixty-three million, five hundred thirty-four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 18041 36082 54123 72164 108246 144328 162369 216492 288656 324738 432984 487107 649476 865968 974214 1298952 1461321 1948428 2597904 2922642 3896856 5845284 7793712 9450523 11690568 18901046 23381136 28351569 37802092 56703138 75604184 85054707 113406276 151208368 170109414 226812552 255164121 340218828 453625104 510328242 680437656 765492363 1020656484 1360875312 1530984726 2041312968 3061969452 4082625936 6123938904 12247877808 170496885443 340993770886 511490656329 681987541772 1022981312658 1363975083544 1534471968987 2045962625316 2727950167088 3068943937974 4091925250632 4603415906961 6137887875948 8183850501264 9206831813922 12275775751896 13810247720883 18413663627844 24551551503792 27620495441766 36827327255688 55240990883532 73654654511376 110481981767064 220963963534128