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216130150404 = 223272110692
BaseRepresentation
bin1100100101001001011…
…1000110000000000100
3202122212111000020002100
43021102113012000010
512020113304303104
6243142215112100
721420622652400
oct3112227060004
9678774006070
10216130150404
1183729920a13
1235a79672630
13174c504447c
14a664452100
15594e5c8139
hex32525c6004

216130150404 has 81 divisors (see below), whose sum is σ = 635582981397. Its totient is φ = 61745892768.

The previous prime is 216130150363. The next prime is 216130150417. The reversal of 216130150404 is 404051031612.

It is a happy number.

The square root of 216130150404 is 464898.

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

216130150404 is a `hidden beast` number, since 2 + 1 + 613 + 0 + 1 + 5 + 0 + 40 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 20164568004 + 195965582400 = 142002^2 + 442680^2 .

It is a super-2 number, since 2×2161301504042 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 19520182 + ... + 19531250.

Almost surely, 2216130150404 is an apocalyptic number.

216130150404 is the 464898-th square number.

It is an amenable number.

216130150404 is an abundant number, since it is smaller than the sum of its proper divisors (419452830993).

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

216130150404 is an equidigital number, since it uses as much as digits as its factorization.

216130150404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22162 (or 11081 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 216130150404 in words is "two hundred sixteen billion, one hundred thirty million, one hundred fifty thousand, four hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 11069 22138 33207 44276 66414 77483 99621 132828 154966 199242 232449 309932 398484 464898 542381 697347 929796 1084762 1394694 1627143 2169524 2789388 3254286 4881429 6508572 9762858 19525716 122522761 245045522 367568283 490091044 735136566 857659327 1102704849 1470273132 1715318654 2205409698 2572977981 3430637308 4410819396 5145955962 6003615289 7718933943 10291911924 12007230578 15437867886 18010845867 24014461156 30875735772 36021691734 54032537601 72043383468 108065075202 216130150404